'''

area_curves.py

Find the area enclosed by two curves between two points

'''

from sympy import Integral, Symbol, SympifyError, sympify

def find_area(f, g, var, a, b):

a = Integral(f-g, (var, a, b)).doit()

return a

if __name__ == '__main__':

f = input('Enter the upper function in one variable: ')

g = input('Enter the lower upper function in one variable: ')

var = input('Enter the variable: ')

l = float(input('Enter the lower bound of the enclosed region: '))

u = float(input('Enter the upper bound of the enclosed region: '))

try:

f = sympify(f)

g = sympify(g)

except SympifyError:

print('One of the functions entered is invalid')

else:

var = Symbol(var)

print('Area enclosed by {0} and {1} is: {2} '.

format(f, g, find_area(f, g, var, l, u)))