



def 					__lowerCAmelCase		(  __lowerCamelCase	:    List[Any]	)  ->						float:

					if edge <= 0 or not isinstance(_lowercase				,   _lowercase	):
										raise ValueError("""Length must be a positive."""	)
					return 3 * ((25 + 10 * (5 ** (1 / 2))) ** (1 / 2)) * (edge**2)






def 					__lowerCAmelCase		(  __lowerCamelCase	:    Dict	)  ->						float:

					if edge <= 0 or not isinstance(_lowercase				,   _lowercase	):
										raise ValueError("""Length must be a positive."""	)
					return ((15 + (7 * (5 ** (1 / 2)))) / 4) * (edge**3)


if __name__ == "__main__":
				import doctest

				doctest.testmod()









import math

from numpy import inf
from scipy.integrate import quad






def 					__lowerCAmelCase		(  __lowerCamelCase	:    float	)  ->						float:
					if num <= 0:
										raise ValueError("""math domain error"""	)

					return quad(__lowerCamelCase				,   0				,   __lowerCamelCase				,   args=(__lowerCamelCase)	)[0]






def 					__lowerCAmelCase		(  __lowerCamelCase	:    float				,   __lowerCamelCase	:    float	)  ->						float:
					return math.pow(__lowerCamelCase				,   z - 1	) * math.exp(-x	)


if __name__ == "__main__":
				from doctest import testmod

				testmod()




