consider we have the inverse of a function evaluated at q
$x=f^{-1}(q)$
is there a trick for evaluating the integral of the function where one f the limits of integration is the inverse of the function evaluated at point q
$\int_{x}^{1}f(y)\, dy$
I know for trigometric functions it's easy but i'm sure there is a method to evulate general integrals in this way