: Mathematics: integral of inverse functions

mathematical analysis > calculus > integral calculus > integral of inverse functions

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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Integral_of_inverse_functions)

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