


def        UpperCAmelCase_      (							__snake_case  ,		__snake_case		)  ->    Optional[int]:







 """simple docstring"""


 _lowercase							   =(boundary[1] - boundary[0]) / steps
 _lowercase							   =boundary[0]
 _lowercase							   =boundary[1]
 _lowercase							   =make_points(__snake_case  ,		__snake_case  ,		__snake_case		)
 _lowercase							   =0.0
 y += (h / 3.0) * f(__snake_case		)
 _lowercase							   =2
 for i in x_i:
  y += (h / 3) * (4 - 2 * (cnt % 2)) * f(__snake_case		)
  cnt += 1
 y += (h / 3.0) * f(__snake_case		)
 return y
def        UpperCAmelCase_      (							__snake_case  ,		__snake_case  ,		__snake_case		)  ->    Dict:







 """simple docstring"""


 _lowercase							   =a + h
 while x < (b - h):
  yield x
  _lowercase							   =x + h
def        UpperCAmelCase_      (							__snake_case		)  ->    List[Any]:  # enter your function here







 """simple docstring"""


 _lowercase							   =(x - 0) * (x - 0)
 return y
def        UpperCAmelCase_      (							)  ->    Any:







 """simple docstring"""


 _lowercase							   =0.0  # Lower bound of integration
 _lowercase							   =1.0  # Upper bound of integration
 _lowercase							   =10.0  # define number of steps or resolution
 _lowercase							   =[a, b]  # define boundary of integration
 _lowercase							   =method_a(__snake_case  ,		__snake_case		)
 print(F"y = {y}"		)


if __name__ == "__main__":
  main()





def        UpperCAmelCase_      (							__snake_case		)  ->    bool:







 """simple docstring"""


 if not isinstance(__snake_case  ,		__snake_case		):
  _lowercase							   =F"Input value of [number={number}] must be an integer"
  raise TypeError(__snake_case		)
 if number < 0 or number % 2 == 1:
  return False
 _lowercase							   =int(number**0.5		)
 return number == number_sqrt * (number_sqrt + 1)


if __name__ == "__main__":
  import doctest

  doctest.testmod()

