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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫f(x)[f(x)]2dx=\int \frac{f(x)}{[f(x)]^2} d x=
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Correct option: A
−[f(x)]−1+c-[f(x)]^{-1}+c
Option A (−[f(x)]−1+c-[f(x)]^{-1}+c) is correct because the integral of f′(x)[f(x)]2\frac{f'(x)}{[f(x)]^2} is found by using substitution, where f(x)=tf(x) = t.

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