code: 
  from __future__ import annotations
  
  from collections.abc import Callable
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      Callable[[int | float], int | float]   , _UpperCAmelCase     :      int | float   , _UpperCAmelCase     :      int | float   , _UpperCAmelCase     :      int = 100   , )      -> float:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  Any    			=      x_start
  						_lowercase					:  Tuple    			=      fnc(_UpperCAmelCase     )
  						_lowercase					:  Optional[Any]    			=      0.0
  
  						for _ in range(_UpperCAmelCase     ):
  												# Approximates small segments of curve as linear and solve
  												# for trapezoidal area
  												_lowercase					:  str    			=      (x_end - x_start) / steps + xa
  												_lowercase					:  Tuple    			=      fnc(_UpperCAmelCase     )
  												area += abs(fxa + fxa     ) * (xa - xa) / 2
  
  												# Increment step
  												_lowercase					:  int    			=      xa
  												_lowercase					:  List[str]    			=      fxa
  						return area
  
  
  if __name__ == "__main__":
  
  
  
  							def 		UpperCamelCase    (					_UpperCAmelCase     :      List[str]     )      -> Optional[int]:
  
  
  
  
  
  
  													'''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:""")
  							UpperCamelCase_	:    List[Any]  					=       10
  							while i <= 10_0000:
  														UpperCamelCase_	:    int  					=       trapezoidal_area(f, -5, 5, i)
  														print(f'''with {i} steps: {area}''')
  														i *= 10
  
  
  
  
  
style_context: 
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> bool:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if not isinstance(_UpperCAmelCase   , _UpperCAmelCase     ):
  												_lowercase					:  Optional[int]    			=      f"""Input value of [number={number}] must be an integer"""
  												raise TypeError(_UpperCAmelCase     )
  						if number < 0 or number % 2 == 1:
  												return False
  						_lowercase					:  List[str]    			=      int(number**0.5     )
  						return number == number_sqrt * (number_sqrt + 1)
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod()
  
  
  
  
  