JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{d x}{\left(1+x^2\right) \sqrt{p^2+q^2\left(\tan ^{-1} x\right)^2}}=

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Correct option: A

\frac{1}{q} \log \left[q \tan ^{-1} x+\sqrt{p^2+q^2\left(\tan ^{-1} x\right)^2}\right]+c

Option A is correct because the integral can be solved by substituting

q \tan^{-1} x = t

and using the standard integral formula.

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