# Integral of inverse functions

In mathematics, integrals of inverse functions can be computed by means of a formula that expresses the antiderivatives of the inverse ${\displaystyle f^{-1}}$ of a continuous and invertible function ${\displaystyle f}$, in terms of ${\displaystyle f^{-1}}$ and an antiderivative of ${\displaystyle f}$. This formula was published in 1905 by Charles-Ange Laisant.[1]