





'''simple docstring'''







from __future__ import annotations

import math
from collections.abc import Callable






def  _lowerCamelCase				( lowercase						:      Callable[[int | float], int | float]    ,							lowercase						:      int | float    ,							lowercase						:      int | float    ,							lowercase						:      int = 100    ,							)	->	float:
				_a								= x_start
				_a								= fnc(lowercase						)
				_a								= 0.0

				for _ in range(lowercase						):
								# Approximates curve as a sequence of linear lines and sums their length
								_a								= (x_end - x_start) / steps + xa
								_a								= fnc(lowercase						)
								length += math.hypot(xa - xa    ,							fxa - fxa						)

								# Increment step
								_a								= xa
								_a								= fxa

				return length


if __name__ == "__main__":






					def  _lowerCamelCase				( lowercase						:      int						)	->	Optional[Any]:
									return math.sin(10 * x						)

					print('f(x) = sin(10 * x)')
					print('The length of the curve from x = -10 to x = 10 is:')
					lowerCAmelCase_					:    List[Any]      	=			10
					while i <= 10_00_00:
										print(f"""With {i} steps: {line_length(f, -10, 10, i)}""")
										i *= 10







'''simple docstring'''







def  _lowerCamelCase				( lowercase						:      int						)	->	bool:
				if num < 0:
								return False

				_a								= num
				_a								= 0
				while num > 0:
								_a								= rev_num * 10 + (num % 10)
								num //= 10

				return num_copy == rev_num


if __name__ == "__main__":
					import doctest

					doctest.testmod()
