



"""simple docstring"""
from typing import Any


class 							lowerCamelCase_:





					'''simple docstring'''



					def __init__(			self      ):
									_lowerCamelCase					     = []
									_lowerCamelCase					     = 0

					def __str__(			self      ):
									_lowerCamelCase					     = '''<''' + str(self.stack      )[1:-1] + '''>'''
									return printed

					def 	snake_case__					(			self ,				lowerCamelCase__      ):
									self.stack.append(lowerCamelCase__      )
									_lowerCamelCase					     = self.length + 1

					def 	snake_case__					(			self      ):
									self.rotate(1      )
									_lowerCamelCase					     = self.stack[self.length - 1]
									_lowerCamelCase					     = self.stack[:-1]
									self.rotate(self.length - 1      )
									_lowerCamelCase					     = self.length - 1
									return dequeued

					def 	snake_case__					(			self ,				lowerCamelCase__      ):
									for _ in range(lowerCamelCase__      ):
													_lowerCamelCase					     = self.stack[0]
													_lowerCamelCase					     = self.stack[1:]
													self.put(lowerCamelCase__      )
													_lowerCamelCase					     = self.length - 1

					def 	snake_case__					(			self      ):
									_lowerCamelCase					     = self.get()
									self.put(lowerCamelCase__      )
									self.rotate(self.length - 1      )
									return front

					def 	snake_case__					(			self      ):
									return self.length


'''simple docstring'''
from __future__ import annotations

from collections.abc import Callable




def 					_UpperCamelCase		(    SCREAMING_SNAKE_CASE__      ,    SCREAMING_SNAKE_CASE__      ,    SCREAMING_SNAKE_CASE__      ,    SCREAMING_SNAKE_CASE__ = 100      ,    )   ->				float:


		'''simple docstring'''


		snake_case   :    int			       =		x_start
		snake_case   :    Tuple			       =		fnc(SCREAMING_SNAKE_CASE__       )
		snake_case   :    Dict			       =		0.0

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

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


if __name__ == "__main__":




						def 					_UpperCamelCase		(    SCREAMING_SNAKE_CASE__       )   ->				str:


								'''simple docstring'''


								return x**3

						print("f(x) = x^3")
						print("The area between the curve, x = -10, x = 10 and the x axis is:")
						lowercase__		    =	1_0
						while i <= 1_0_0_0_0_0:
												lowercase__		    =	trapezoidal_area(f, -5, 5, i)
												print(f"with {i} steps: {area}")
												i *= 1_0


