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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫tan⁡−1xdx=\int \tan ^{-1} x d x=
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Correct option: B
xtan⁡−1x−12log⁡(1+x2)x \tan ^{-1} x-\frac{1}{2} \log \left(1+x^2\right)
Option B (xtan⁡−1x−12log⁡(1+x2)x \tan ^{-1} x-\frac{1}{2} \log \left(1+x^2\right)) is correct because it is the result of integrating tan⁡−1x\tan ^{-1} x using integration by parts.

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