



'''simple docstring'''





from __future__ import annotations

import math
from collections.abc import Callable




def        lowerCamelCase  (				_snake_case  :						Callable[[int | float], int | float]     ,_snake_case  :						int | float     ,_snake_case  :						int | float     ,_snake_case  :						int = 100     ,):





    '''simple docstring'''


    lowercase__		       =						x_start
    lowercase__		       =						fnc(_snake_case       )
    lowercase__		       =						0.0

    for _ in range(_snake_case       ):
        # Approximates curve as a sequence of linear lines and sums their length
        lowercase__		       =						(x_end - x_start) / steps + xa
        lowercase__		       =						fnc(_snake_case       )
        length += math.hypot(xa - xa     ,fxa - fxa       )

        # Increment step
        lowercase__		       =						xa
        lowercase__		       =						fxa

    return length


if __name__ == "__main__":




 def        lowerCamelCase  (				_snake_case  :						str       ):





     '''simple docstring'''


     return math.sin(10 * x       )

 print("f(x) = sin(10 * x)")
 print("The length of the curve from x = -10 to x = 10 is:")
 SCREAMING_SNAKE_CASE__      					=     10
 while i <= 10_0000:
  print(f'''With {i} steps: {line_length(f, -10, 10, i)}''')
  i *= 10









'''simple docstring'''





def        lowerCamelCase  (				_snake_case  :						int     ,_snake_case  :						float     ,_snake_case  :						float       ):





    '''simple docstring'''


    return round(float(moles / volume       ) * nfactor       )




def        lowerCamelCase  (				_snake_case  :						float     ,_snake_case  :						float     ,_snake_case  :						float       ):





    '''simple docstring'''


    return round(float((moles * 0.0_821 * temperature) / (volume)       )       )




def        lowerCamelCase  (				_snake_case  :						float     ,_snake_case  :						float     ,_snake_case  :						float       ):





    '''simple docstring'''


    return round(float((moles * 0.0_821 * temperature) / (pressure)       )       )




def        lowerCamelCase  (				_snake_case  :						float     ,_snake_case  :						float     ,_snake_case  :						float       ):





    '''simple docstring'''


    return round(float((pressure * volume) / (0.0_821 * moles)       )       )


if __name__ == "__main__":
 import doctest

 doctest.testmod()




