Index stringlengths 1 5 | Challenge stringlengths 41 1.55k | Answer in Latex stringclasses 122 values | Answer in Sympy stringlengths 1 774 | Variation stringclasses 31 values | Source stringclasses 61 values |
|---|---|---|---|---|---|
16601 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(86\right) }} \frac{ \left(77\right) x \sin(2 \left(86\right) x)}{(1 \left(87\right) ) + \cos^2(2 \left(86\right) x)} dx$ | pi*86**(-2)*87**(-1/2)*atan(87**(-1/2))*77/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16602 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(85\right) }} \frac{ \left(66\right) x \sin(2 \left(85\right) x)}{(1 \left(73\right) ) + \cos^2(2 \left(85\right) x)} dx$ | pi*85**(-2)*73**(-1/2)*atan(73**(-1/2))*66/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16603 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(65\right) }} \frac{ \left(29\right) x \sin(2 \left(65\right) x)}{(1 \left(98\right) ) + \cos^2(2 \left(65\right) x)} dx$ | pi*65**(-2)*98**(-1/2)*atan(98**(-1/2))*29/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16604 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(77\right) }} \frac{ \left(47\right) x \sin(2 \left(77\right) x)}{(1 \left(12\right) ) + \cos^2(2 \left(77\right) x)} dx$ | pi*77**(-2)*12**(-1/2)*atan(12**(-1/2))*47/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16605 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(53\right) }} \frac{ \left(54\right) x \sin(2 \left(53\right) x)}{(1 \left(63\right) ) + \cos^2(2 \left(53\right) x)} dx$ | pi*53**(-2)*63**(-1/2)*atan(63**(-1/2))*54/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16606 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(33\right) }} \frac{ \left(99\right) x \sin(2 \left(33\right) x)}{(1 \left(70\right) ) + \cos^2(2 \left(33\right) x)} dx$ | pi*33**(-2)*70**(-1/2)*atan(70**(-1/2))*99/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16607 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(71\right) }} \frac{ \left(25\right) x \sin(2 \left(71\right) x)}{(1 \left(83\right) ) + \cos^2(2 \left(71\right) x)} dx$ | pi*71**(-2)*83**(-1/2)*atan(83**(-1/2))*25/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16608 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(43\right) }} \frac{ \left(50\right) x \sin(2 \left(43\right) x)}{(1 \left(71\right) ) + \cos^2(2 \left(43\right) x)} dx$ | pi*43**(-2)*71**(-1/2)*atan(71**(-1/2))*50/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16609 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(23\right) }} \frac{ \left(44\right) x \sin(2 \left(23\right) x)}{(1 \left(57\right) ) + \cos^2(2 \left(23\right) x)} dx$ | pi*23**(-2)*57**(-1/2)*atan(57**(-1/2))*44/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16610 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(37\right) }} \frac{ \left(63\right) x \sin(2 \left(37\right) x)}{(1 \left(91\right) ) + \cos^2(2 \left(37\right) x)} dx$ | pi*37**(-2)*91**(-1/2)*atan(91**(-1/2))*63/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16611 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(79\right) }} \frac{ \left(27\right) x \sin(2 \left(79\right) x)}{(1 \left(79\right) ) + \cos^2(2 \left(79\right) x)} dx$ | pi*79**(-5/2)*atan(79**(-1/2))*27/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16612 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(51\right) }} \frac{ \left(60\right) x \sin(2 \left(51\right) x)}{(1 \left(26\right) ) + \cos^2(2 \left(51\right) x)} dx$ | pi*51**(-2)*26**(-1/2)*atan(26**(-1/2))*60/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16613 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(98\right) }} \frac{ \left(77\right) x \sin(2 \left(98\right) x)}{(1 \left(84\right) ) + \cos^2(2 \left(98\right) x)} dx$ | pi*98**(-2)*84**(-1/2)*atan(84**(-1/2))*77/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16614 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(58\right) }} \frac{ \left(50\right) x \sin(2 \left(58\right) x)}{(1 \left(15\right) ) + \cos^2(2 \left(58\right) x)} dx$ | pi*58**(-2)*15**(-1/2)*atan(15**(-1/2))*50/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16615 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(66\right) }} \frac{ \left(73\right) x \sin(2 \left(66\right) x)}{(1 \left(23\right) ) + \cos^2(2 \left(66\right) x)} dx$ | pi*66**(-2)*23**(-1/2)*atan(23**(-1/2))*73/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16616 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(19\right) }} \frac{ \left(80\right) x \sin(2 \left(19\right) x)}{(1 \left(60\right) ) + \cos^2(2 \left(19\right) x)} dx$ | pi*19**(-2)*60**(-1/2)*atan(60**(-1/2))*80/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16617 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(72\right) }} \frac{ \left(46\right) x \sin(2 \left(72\right) x)}{(1 \left(97\right) ) + \cos^2(2 \left(72\right) x)} dx$ | pi*72**(-2)*97**(-1/2)*atan(97**(-1/2))*46/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16618 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(41\right) }} \frac{ \left(44\right) x \sin(2 \left(41\right) x)}{(1 \left(25\right) ) + \cos^2(2 \left(41\right) x)} dx$ | pi*41**(-2)*25**(-1/2)*atan(25**(-1/2))*44/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16619 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(79\right) }} \frac{ \left(93\right) x \sin(2 \left(79\right) x)}{(1 \left(60\right) ) + \cos^2(2 \left(79\right) x)} dx$ | pi*79**(-2)*60**(-1/2)*atan(60**(-1/2))*93/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16620 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(18\right) }} \frac{ \left(49\right) x \sin(2 \left(18\right) x)}{(1 \left(43\right) ) + \cos^2(2 \left(18\right) x)} dx$ | pi*18**(-2)*43**(-1/2)*atan(43**(-1/2))*49/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16621 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(73\right) }} \frac{ \left(32\right) x \sin(2 \left(73\right) x)}{(1 \left(87\right) ) + \cos^2(2 \left(73\right) x)} dx$ | pi*73**(-2)*87**(-1/2)*atan(87**(-1/2))*32/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16622 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(41\right) }} \frac{ \left(24\right) x \sin(2 \left(41\right) x)}{(1 \left(23\right) ) + \cos^2(2 \left(41\right) x)} dx$ | pi*41**(-2)*23**(-1/2)*atan(23**(-1/2))*24/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16623 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(27\right) }} \frac{ \left(40\right) x \sin(2 \left(27\right) x)}{(1 \left(19\right) ) + \cos^2(2 \left(27\right) x)} dx$ | pi*27**(-2)*19**(-1/2)*atan(19**(-1/2))*40/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16624 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(38\right) }} \frac{ \left(14\right) x \sin(2 \left(38\right) x)}{(1 \left(41\right) ) + \cos^2(2 \left(38\right) x)} dx$ | pi*38**(-2)*41**(-1/2)*atan(41**(-1/2))*14/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16625 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(93\right) }} \frac{ \left(85\right) x \sin(2 \left(93\right) x)}{(1 \left(22\right) ) + \cos^2(2 \left(93\right) x)} dx$ | pi*93**(-2)*22**(-1/2)*atan(22**(-1/2))*85/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16626 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(26\right) }} \frac{ \left(29\right) x \sin(2 \left(26\right) x)}{(1 \left(85\right) ) + \cos^2(2 \left(26\right) x)} dx$ | pi*26**(-2)*85**(-1/2)*atan(85**(-1/2))*29/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16627 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(59\right) }} \frac{ \left(50\right) x \sin(2 \left(59\right) x)}{(1 \left(57\right) ) + \cos^2(2 \left(59\right) x)} dx$ | pi*59**(-2)*57**(-1/2)*atan(57**(-1/2))*50/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16628 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(20\right) }} \frac{ \left(50\right) x \sin(2 \left(20\right) x)}{(1 \left(15\right) ) + \cos^2(2 \left(20\right) x)} dx$ | pi*20**(-2)*15**(-1/2)*atan(15**(-1/2))*50/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16629 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(65\right) }} \frac{ \left(39\right) x \sin(2 \left(65\right) x)}{(1 \left(34\right) ) + \cos^2(2 \left(65\right) x)} dx$ | pi*65**(-2)*34**(-1/2)*atan(34**(-1/2))*39/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16630 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(93\right) }} \frac{ \left(70\right) x \sin(2 \left(93\right) x)}{(1 \left(40\right) ) + \cos^2(2 \left(93\right) x)} dx$ | pi*93**(-2)*40**(-1/2)*atan(40**(-1/2))*70/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16631 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(49\right) }} \frac{ \left(45\right) x \sin(2 \left(49\right) x)}{(1 \left(24\right) ) + \cos^2(2 \left(49\right) x)} dx$ | pi*49**(-2)*24**(-1/2)*atan(24**(-1/2))*45/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16632 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(72\right) }} \frac{ \left(58\right) x \sin(2 \left(72\right) x)}{(1 \left(29\right) ) + \cos^2(2 \left(72\right) x)} dx$ | pi*72**(-2)*29**(-1/2)*atan(29**(-1/2))*58/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16633 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(99\right) }} \frac{ \left(80\right) x \sin(2 \left(99\right) x)}{(1 \left(39\right) ) + \cos^2(2 \left(99\right) x)} dx$ | pi*99**(-2)*39**(-1/2)*atan(39**(-1/2))*80/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16634 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(73\right) }} \frac{ \left(75\right) x \sin(2 \left(73\right) x)}{(1 \left(77\right) ) + \cos^2(2 \left(73\right) x)} dx$ | pi*73**(-2)*77**(-1/2)*atan(77**(-1/2))*75/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16635 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(80\right) }} \frac{ \left(15\right) x \sin(2 \left(80\right) x)}{(1 \left(22\right) ) + \cos^2(2 \left(80\right) x)} dx$ | pi*80**(-2)*22**(-1/2)*atan(22**(-1/2))*15/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16636 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(10\right) }} \frac{ \left(19\right) x \sin(2 \left(10\right) x)}{(1 \left(91\right) ) + \cos^2(2 \left(10\right) x)} dx$ | pi*10**(-2)*91**(-1/2)*atan(91**(-1/2))*19/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16637 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(52\right) }} \frac{ \left(89\right) x \sin(2 \left(52\right) x)}{(1 \left(10\right) ) + \cos^2(2 \left(52\right) x)} dx$ | pi*52**(-2)*10**(-1/2)*atan(10**(-1/2))*89/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16638 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(80\right) }} \frac{ \left(42\right) x \sin(2 \left(80\right) x)}{(1 \left(84\right) ) + \cos^2(2 \left(80\right) x)} dx$ | pi*80**(-2)*84**(-1/2)*atan(84**(-1/2))*42/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16639 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(46\right) }} \frac{ \left(19\right) x \sin(2 \left(46\right) x)}{(1 \left(33\right) ) + \cos^2(2 \left(46\right) x)} dx$ | pi*46**(-2)*33**(-1/2)*atan(33**(-1/2))*19/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16640 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(26\right) }} \frac{ \left(93\right) x \sin(2 \left(26\right) x)}{(1 \left(49\right) ) + \cos^2(2 \left(26\right) x)} dx$ | pi*26**(-2)*49**(-1/2)*atan(49**(-1/2))*93/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16641 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(14\right) }} \frac{ \left(76\right) x \sin(2 \left(14\right) x)}{(1 \left(26\right) ) + \cos^2(2 \left(14\right) x)} dx$ | pi*14**(-2)*26**(-1/2)*atan(26**(-1/2))*76/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16642 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(26\right) }} \frac{ \left(32\right) x \sin(2 \left(26\right) x)}{(1 \left(23\right) ) + \cos^2(2 \left(26\right) x)} dx$ | pi*26**(-2)*23**(-1/2)*atan(23**(-1/2))*32/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16643 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(26\right) }} \frac{ \left(45\right) x \sin(2 \left(26\right) x)}{(1 \left(52\right) ) + \cos^2(2 \left(26\right) x)} dx$ | pi*26**(-2)*52**(-1/2)*atan(52**(-1/2))*45/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16644 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(24\right) }} \frac{ \left(49\right) x \sin(2 \left(24\right) x)}{(1 \left(48\right) ) + \cos^2(2 \left(24\right) x)} dx$ | pi*24**(-2)*48**(-1/2)*atan(48**(-1/2))*49/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16645 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(37\right) }} \frac{ \left(12\right) x \sin(2 \left(37\right) x)}{(1 \left(77\right) ) + \cos^2(2 \left(37\right) x)} dx$ | pi*37**(-2)*77**(-1/2)*atan(77**(-1/2))*12/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16646 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(70\right) }} \frac{ \left(20\right) x \sin(2 \left(70\right) x)}{(1 \left(59\right) ) + \cos^2(2 \left(70\right) x)} dx$ | pi*70**(-2)*59**(-1/2)*atan(59**(-1/2))*20/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16647 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(63\right) }} \frac{ \left(16\right) x \sin(2 \left(63\right) x)}{(1 \left(27\right) ) + \cos^2(2 \left(63\right) x)} dx$ | pi*63**(-2)*27**(-1/2)*atan(27**(-1/2))*16/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16648 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(57\right) }} \frac{ \left(95\right) x \sin(2 \left(57\right) x)}{(1 \left(94\right) ) + \cos^2(2 \left(57\right) x)} dx$ | pi*57**(-2)*94**(-1/2)*atan(94**(-1/2))*95/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16649 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(52\right) e^{ \left(85\right) x} ( \left(85\right) x-1)}{ \left(85\right) x \left( \left(15\right) e^{ \left(85\right) x}+ \left(85\right) \left(63\right) x\right)} dx$ | -85**(-1)*15**(-1)*log((e**2*15 + 2*63)**(-1)*(2*e*15 + 2*63))*52 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16650 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(61\right) e^{ \left(98\right) x} ( \left(98\right) x-1)}{ \left(98\right) x \left( \left(29\right) e^{ \left(98\right) x}+ \left(98\right) \left(87\right) x\right)} dx$ | -98**(-1)*29**(-1)*log((e**2*29 + 2*87)**(-1)*(2*e*29 + 2*87))*61 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16651 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(31\right) e^{ \left(15\right) x} ( \left(15\right) x-1)}{ \left(15\right) x \left( \left(28\right) e^{ \left(15\right) x}+ \left(15\right) \left(10\right) x\right)} dx$ | -15**(-1)*28**(-1)*log((e**2*28 + 2*10)**(-1)*(2*e*28 + 2*10))*31 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16652 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(50\right) e^{ \left(53\right) x} ( \left(53\right) x-1)}{ \left(53\right) x \left( \left(94\right) e^{ \left(53\right) x}+ \left(53\right) \left(93\right) x\right)} dx$ | -53**(-1)*94**(-1)*log((e**2*94 + 2*93)**(-1)*(2*e*94 + 2*93))*50 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16653 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(54\right) e^{ \left(34\right) x} ( \left(34\right) x-1)}{ \left(34\right) x \left( \left(47\right) e^{ \left(34\right) x}+ \left(34\right) \left(58\right) x\right)} dx$ | -34**(-1)*47**(-1)*log((e**2*47 + 2*58)**(-1)*(2*e*47 + 2*58))*54 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16654 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(29\right) e^{ \left(23\right) x} ( \left(23\right) x-1)}{ \left(23\right) x \left( \left(55\right) e^{ \left(23\right) x}+ \left(23\right) \left(76\right) x\right)} dx$ | -23**(-1)*55**(-1)*log((e**2*55 + 2*76)**(-1)*(2*e*55 + 2*76))*29 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16655 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(88\right) e^{ \left(86\right) x} ( \left(86\right) x-1)}{ \left(86\right) x \left( \left(39\right) e^{ \left(86\right) x}+ \left(86\right) \left(61\right) x\right)} dx$ | -86**(-1)*39**(-1)*log((e**2*39 + 2*61)**(-1)*(2*e*39 + 2*61))*88 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16656 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(18\right) e^{ \left(22\right) x} ( \left(22\right) x-1)}{ \left(22\right) x \left( \left(41\right) e^{ \left(22\right) x}+ \left(22\right) \left(28\right) x\right)} dx$ | -22**(-1)*41**(-1)*log((e**2*41 + 2*28)**(-1)*(2*e*41 + 2*28))*18 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16657 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(78\right) e^{ \left(11\right) x} ( \left(11\right) x-1)}{ \left(11\right) x \left( \left(83\right) e^{ \left(11\right) x}+ \left(11\right) \left(14\right) x\right)} dx$ | -11**(-1)*83**(-1)*log((e**2*83 + 2*14)**(-1)*(2*e*83 + 2*14))*78 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16658 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(27\right) e^{ \left(55\right) x} ( \left(55\right) x-1)}{ \left(55\right) x \left( \left(15\right) e^{ \left(55\right) x}+ \left(55\right) \left(33\right) x\right)} dx$ | -55**(-1)*15**(-1)*log((e**2*15 + 2*33)**(-1)*(2*e*15 + 2*33))*27 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16659 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(72\right) e^{ \left(32\right) x} ( \left(32\right) x-1)}{ \left(32\right) x \left( \left(84\right) e^{ \left(32\right) x}+ \left(32\right) \left(71\right) x\right)} dx$ | -32**(-1)*84**(-1)*log((e**2*84 + 2*71)**(-1)*(2*e*84 + 2*71))*72 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16660 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(48\right) e^{ \left(76\right) x} ( \left(76\right) x-1)}{ \left(76\right) x \left( \left(91\right) e^{ \left(76\right) x}+ \left(76\right) \left(29\right) x\right)} dx$ | -76**(-1)*91**(-1)*log((e**2*91 + 2*29)**(-1)*(2*e*91 + 2*29))*48 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16661 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(98\right) e^{ \left(71\right) x} ( \left(71\right) x-1)}{ \left(71\right) x \left( \left(12\right) e^{ \left(71\right) x}+ \left(71\right) \left(42\right) x\right)} dx$ | -71**(-1)*12**(-1)*log((e**2*12 + 2*42)**(-1)*(2*e*12 + 2*42))*98 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16662 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(14\right) e^{ \left(87\right) x} ( \left(87\right) x-1)}{ \left(87\right) x \left( \left(59\right) e^{ \left(87\right) x}+ \left(87\right) \left(90\right) x\right)} dx$ | -87**(-1)*59**(-1)*log((e**2*59 + 2*90)**(-1)*(2*e*59 + 2*90))*14 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16663 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(80\right) e^{ \left(66\right) x} ( \left(66\right) x-1)}{ \left(66\right) x \left( \left(79\right) e^{ \left(66\right) x}+ \left(66\right) \left(21\right) x\right)} dx$ | -66**(-1)*79**(-1)*log((e**2*79 + 2*21)**(-1)*(2*e*79 + 2*21))*80 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16664 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(83\right) e^{ \left(42\right) x} ( \left(42\right) x-1)}{ \left(42\right) x \left( \left(45\right) e^{ \left(42\right) x}+ \left(42\right) \left(15\right) x\right)} dx$ | -42**(-1)*45**(-1)*log((e**2*45 + 2*15)**(-1)*(2*e*45 + 2*15))*83 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16665 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(49\right) e^{ \left(79\right) x} ( \left(79\right) x-1)}{ \left(79\right) x \left( \left(67\right) e^{ \left(79\right) x}+ \left(79\right) \left(54\right) x\right)} dx$ | -79**(-1)*67**(-1)*log((e**2*67 + 2*54)**(-1)*(2*e*67 + 2*54))*49 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16666 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(67\right) e^{ \left(50\right) x} ( \left(50\right) x-1)}{ \left(50\right) x \left( \left(64\right) e^{ \left(50\right) x}+ \left(50\right) \left(78\right) x\right)} dx$ | -50**(-1)*64**(-1)*log((e**2*64 + 2*78)**(-1)*(2*e*64 + 2*78))*67 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16667 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(98\right) e^{ \left(84\right) x} ( \left(84\right) x-1)}{ \left(84\right) x \left( \left(46\right) e^{ \left(84\right) x}+ \left(84\right) \left(27\right) x\right)} dx$ | -84**(-1)*46**(-1)*log((e**2*46 + 2*27)**(-1)*(2*e*46 + 2*27))*98 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16668 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(62\right) e^{ \left(30\right) x} ( \left(30\right) x-1)}{ \left(30\right) x \left( \left(91\right) e^{ \left(30\right) x}+ \left(30\right) \left(38\right) x\right)} dx$ | -30**(-1)*91**(-1)*log((e**2*91 + 2*38)**(-1)*(2*e*91 + 2*38))*62 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16669 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(84\right) e^{ \left(42\right) x} ( \left(42\right) x-1)}{ \left(42\right) x \left( \left(54\right) e^{ \left(42\right) x}+ \left(42\right) \left(31\right) x\right)} dx$ | -42**(-1)*54**(-1)*log((e**2*54 + 2*31)**(-1)*(2*e*54 + 2*31))*84 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16670 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(97\right) e^{ \left(61\right) x} ( \left(61\right) x-1)}{ \left(61\right) x \left( \left(97\right) e^{ \left(61\right) x}+ \left(61\right) \left(57\right) x\right)} dx$ | -61**(-1)*97**(-1)*log((e**2*97 + 2*57)**(-1)*(2*e*97 + 2*57))*97 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16671 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(34\right) e^{ \left(76\right) x} ( \left(76\right) x-1)}{ \left(76\right) x \left( \left(23\right) e^{ \left(76\right) x}+ \left(76\right) \left(49\right) x\right)} dx$ | -76**(-1)*23**(-1)*log((e**2*23 + 2*49)**(-1)*(2*e*23 + 2*49))*34 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16672 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(99\right) e^{ \left(37\right) x} ( \left(37\right) x-1)}{ \left(37\right) x \left( \left(14\right) e^{ \left(37\right) x}+ \left(37\right) \left(65\right) x\right)} dx$ | -37**(-1)*14**(-1)*log((e**2*14 + 2*65)**(-1)*(2*e*14 + 2*65))*99 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16673 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(99\right) e^{ \left(70\right) x} ( \left(70\right) x-1)}{ \left(70\right) x \left( \left(34\right) e^{ \left(70\right) x}+ \left(70\right) \left(46\right) x\right)} dx$ | -70**(-1)*34**(-1)*log((e**2*34 + 2*46)**(-1)*(2*e*34 + 2*46))*99 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16674 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(47\right) e^{ \left(14\right) x} ( \left(14\right) x-1)}{ \left(14\right) x \left( \left(36\right) e^{ \left(14\right) x}+ \left(14\right) \left(62\right) x\right)} dx$ | -14**(-1)*36**(-1)*log((e**2*36 + 2*62)**(-1)*(2*e*36 + 2*62))*47 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16675 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(89\right) e^{ \left(10\right) x} ( \left(10\right) x-1)}{ \left(10\right) x \left( \left(70\right) e^{ \left(10\right) x}+ \left(10\right) \left(88\right) x\right)} dx$ | -10**(-1)*70**(-1)*log((e**2*70 + 2*88)**(-1)*(2*e*70 + 2*88))*89 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16676 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(94\right) e^{ \left(89\right) x} ( \left(89\right) x-1)}{ \left(89\right) x \left( \left(10\right) e^{ \left(89\right) x}+ \left(89\right) \left(24\right) x\right)} dx$ | -89**(-1)*10**(-1)*log((e**2*10 + 2*24)**(-1)*(2*e*10 + 2*24))*94 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16677 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(23\right) e^{ \left(96\right) x} ( \left(96\right) x-1)}{ \left(96\right) x \left( \left(82\right) e^{ \left(96\right) x}+ \left(96\right) \left(42\right) x\right)} dx$ | -96**(-1)*82**(-1)*log((e**2*82 + 2*42)**(-1)*(2*e*82 + 2*42))*23 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16678 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(49\right) e^{ \left(85\right) x} ( \left(85\right) x-1)}{ \left(85\right) x \left( \left(30\right) e^{ \left(85\right) x}+ \left(85\right) \left(76\right) x\right)} dx$ | -85**(-1)*30**(-1)*log((e**2*30 + 2*76)**(-1)*(2*e*30 + 2*76))*49 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16679 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(84\right) e^{ \left(43\right) x} ( \left(43\right) x-1)}{ \left(43\right) x \left( \left(44\right) e^{ \left(43\right) x}+ \left(43\right) \left(26\right) x\right)} dx$ | -43**(-1)*44**(-1)*log((e**2*44 + 2*26)**(-1)*(2*e*44 + 2*26))*84 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16680 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(30\right) e^{ \left(77\right) x} ( \left(77\right) x-1)}{ \left(77\right) x \left( \left(10\right) e^{ \left(77\right) x}+ \left(77\right) \left(74\right) x\right)} dx$ | -77**(-1)*10**(-1)*log((e**2*10 + 2*74)**(-1)*(2*e*10 + 2*74))*30 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16681 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(25\right) e^{ \left(58\right) x} ( \left(58\right) x-1)}{ \left(58\right) x \left( \left(86\right) e^{ \left(58\right) x}+ \left(58\right) \left(23\right) x\right)} dx$ | -58**(-1)*86**(-1)*log((e**2*86 + 2*23)**(-1)*(2*e*86 + 2*23))*25 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16682 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(48\right) e^{ \left(53\right) x} ( \left(53\right) x-1)}{ \left(53\right) x \left( \left(30\right) e^{ \left(53\right) x}+ \left(53\right) \left(83\right) x\right)} dx$ | -53**(-1)*30**(-1)*log((e**2*30 + 2*83)**(-1)*(2*e*30 + 2*83))*48 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16683 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(60\right) e^{ \left(48\right) x} ( \left(48\right) x-1)}{ \left(48\right) x \left( \left(48\right) e^{ \left(48\right) x}+ \left(48\right) \left(59\right) x\right)} dx$ | -48**(-2)*log((e**2*48 + 2*59)**(-1)*(2*e*48 + 2*59))*60 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16684 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(33\right) e^{ \left(21\right) x} ( \left(21\right) x-1)}{ \left(21\right) x \left( \left(74\right) e^{ \left(21\right) x}+ \left(21\right) \left(88\right) x\right)} dx$ | -21**(-1)*74**(-1)*log((e**2*74 + 2*88)**(-1)*(2*e*74 + 2*88))*33 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16685 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(78\right) e^{ \left(97\right) x} ( \left(97\right) x-1)}{ \left(97\right) x \left( \left(40\right) e^{ \left(97\right) x}+ \left(97\right) \left(55\right) x\right)} dx$ | -97**(-1)*40**(-1)*log((e**2*40 + 2*55)**(-1)*(2*e*40 + 2*55))*78 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16686 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(30\right) e^{ \left(61\right) x} ( \left(61\right) x-1)}{ \left(61\right) x \left( \left(74\right) e^{ \left(61\right) x}+ \left(61\right) \left(34\right) x\right)} dx$ | -61**(-1)*74**(-1)*log((e**2*74 + 2*34)**(-1)*(2*e*74 + 2*34))*30 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16687 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(33\right) e^{ \left(26\right) x} ( \left(26\right) x-1)}{ \left(26\right) x \left( \left(91\right) e^{ \left(26\right) x}+ \left(26\right) \left(63\right) x\right)} dx$ | -26**(-1)*91**(-1)*log((e**2*91 + 2*63)**(-1)*(2*e*91 + 2*63))*33 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16688 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(75\right) e^{ \left(39\right) x} ( \left(39\right) x-1)}{ \left(39\right) x \left( \left(33\right) e^{ \left(39\right) x}+ \left(39\right) \left(86\right) x\right)} dx$ | -39**(-1)*33**(-1)*log((e**2*33 + 2*86)**(-1)*(2*e*33 + 2*86))*75 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16689 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(94\right) e^{ \left(62\right) x} ( \left(62\right) x-1)}{ \left(62\right) x \left( \left(52\right) e^{ \left(62\right) x}+ \left(62\right) \left(66\right) x\right)} dx$ | -62**(-1)*52**(-1)*log((e**2*52 + 2*66)**(-1)*(2*e*52 + 2*66))*94 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16690 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(21\right) e^{ \left(29\right) x} ( \left(29\right) x-1)}{ \left(29\right) x \left( \left(10\right) e^{ \left(29\right) x}+ \left(29\right) \left(65\right) x\right)} dx$ | -29**(-1)*10**(-1)*log((e**2*10 + 2*65)**(-1)*(2*e*10 + 2*65))*21 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16691 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(59\right) e^{ \left(95\right) x} ( \left(95\right) x-1)}{ \left(95\right) x \left( \left(87\right) e^{ \left(95\right) x}+ \left(95\right) \left(42\right) x\right)} dx$ | -95**(-1)*87**(-1)*log((e**2*87 + 2*42)**(-1)*(2*e*87 + 2*42))*59 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16692 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(71\right) e^{ \left(80\right) x} ( \left(80\right) x-1)}{ \left(80\right) x \left( \left(83\right) e^{ \left(80\right) x}+ \left(80\right) \left(55\right) x\right)} dx$ | -80**(-1)*83**(-1)*log((e**2*83 + 2*55)**(-1)*(2*e*83 + 2*55))*71 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16693 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(55\right) e^{ \left(52\right) x} ( \left(52\right) x-1)}{ \left(52\right) x \left( \left(72\right) e^{ \left(52\right) x}+ \left(52\right) \left(22\right) x\right)} dx$ | -52**(-1)*72**(-1)*log((e**2*72 + 2*22)**(-1)*(2*e*72 + 2*22))*55 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16694 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(21\right) e^{ \left(14\right) x} ( \left(14\right) x-1)}{ \left(14\right) x \left( \left(32\right) e^{ \left(14\right) x}+ \left(14\right) \left(70\right) x\right)} dx$ | -14**(-1)*32**(-1)*log((e**2*32 + 2*70)**(-1)*(2*e*32 + 2*70))*21 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16695 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(51\right) e^{ \left(76\right) x} ( \left(76\right) x-1)}{ \left(76\right) x \left( \left(50\right) e^{ \left(76\right) x}+ \left(76\right) \left(67\right) x\right)} dx$ | -76**(-1)*50**(-1)*log((e**2*50 + 2*67)**(-1)*(2*e*50 + 2*67))*51 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16696 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(24\right) e^{ \left(53\right) x} ( \left(53\right) x-1)}{ \left(53\right) x \left( \left(66\right) e^{ \left(53\right) x}+ \left(53\right) \left(16\right) x\right)} dx$ | -53**(-1)*66**(-1)*log((e**2*66 + 2*16)**(-1)*(2*e*66 + 2*16))*24 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16697 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(57\right) e^{ \left(66\right) x} ( \left(66\right) x-1)}{ \left(66\right) x \left( \left(31\right) e^{ \left(66\right) x}+ \left(66\right) \left(19\right) x\right)} dx$ | -66**(-1)*31**(-1)*log((e**2*31 + 2*19)**(-1)*(2*e*31 + 2*19))*57 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16698 | Solve the following integral.
$\int_{1}^{2} \frac{ \left(43\right) e^{ \left(76\right) x} ( \left(76\right) x-1)}{ \left(76\right) x \left( \left(99\right) e^{ \left(76\right) x}+ \left(76\right) \left(79\right) x\right)} dx$ | -76**(-1)*99**(-1)*log((e**2*99 + 2*79)**(-1)*(2*e*99 + 2*79))*43 | Numeric-All-2-S | OBMU 2019 - Q18 | |
16699 | Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(64\right) \log( \left(12\right) (\sin(x))^{1 \left(87\right) }) dx$ | pi*log(2**(-87)*12)*64 | Numeric-All-2-S | OBMU 2019 - Q22 | |
16700 | Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(88\right) \log( \left(21\right) (\sin(x))^{1 \left(59\right) }) dx$ | pi*log(2**(-59)*21)*88 | Numeric-All-2-S | OBMU 2019 - Q22 |
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