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  4. If ∫ f (x)dx = g(x) then ∫ f -1(x)dx is equal to

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Q. If $\int \, f (x)dx = g(x)$ then $\int f^{ -1}(x)dx$ is equal to

Integrals

Solution:

Correct answer is (b) $x f^{-1} (x) - g (f^{-1}(x))$