1 / | | 2 | y | -- dx | 2 | x | / 0
Integral(y^2/x^2, (x, 0, 1))
The integral of a constant times a function is the constant times the integral of the function:
PiecewiseRule(subfunctions=[(ArctanRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False), (ArccothRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False), (ArctanhRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False)], context=1/(x**2), symbol=x)
So, the result is:
Add the constant of integration:
The answer is:
/ | | 2 | y | -- dx = nan | 2 | x | /
/ 2\ 2 oo*sign\y / - y
=
/ 2\ 2 oo*sign\y / - y
oo*sign(y^2) - y^2
Use the examples entering the upper and lower limits of integration.