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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 f − 1 {\displaystyle f^{-1}} of a continuous and invertible function f {\displaystyle f} , in terms of f − 1 {\displaystyle f^{-1}} and an antiderivative of f {\displaystyle f} . This formula was published in 1905 by…

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Integral of inverse functions

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displaystyle -1 theorem differentiable proof continuous formula functions int calculus function antiderivative laisant also antiderivatives follows fundamental ln assume one

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