
'''simple docstring'''





from __future__ import annotations

from collections.abc import Callable

def   A			(							A_				:       Callable[[int | float], int | float]     ,				A_				:       int | float     ,				A_				:       int | float     ,				A_				:       int = 100     ,				):
						snake_case							:  Dict			=     x_start
						snake_case							:  Tuple			=     fnc(_UpperCAmelCase							)
						snake_case							:  Optional[int]			=     0.0

						for _ in range(_UpperCAmelCase							):
												# Approximates small segments of curve as linear and solve
												# for trapezoidal area
												snake_case							:  Optional[int]			=     (x_end - x_start) / steps + xa
												snake_case							:  Optional[Any]			=     fnc(_UpperCAmelCase							)
												area += abs(fxa + fxa							) * (xa - xa) / 2

												# Increment step
												snake_case							:  Optional[Any]			=     xa
												snake_case							:  List[Any]			=     fxa
						return area


if __name__ == "__main__":

						def   A			(							A_				:       List[Any]							):
												return x**3

						print("f(x) = x^3")
						print("The area between the curve, x = -10, x = 10 and the x axis is:")
						UpperCAmelCase            = 10
						while i <= 100_000:
												UpperCAmelCase            = trapezoidal_area(f, -5, 5, i)
												print(f'''with {i} steps: {area}''')
												i *= 10








'''simple docstring'''


from typing import Callable




def       A							(      _UpperCAmelCase   :				Callable					)  ->				Dict:


  '''simple docstring'''




  def wrapper(_UpperCAmelCase   :				Optional[Any]					):
    __lowerCAmelCase		:    List[Any]			     =  function_with_docstring.__doc__
    return target_function

  return wrapper





