JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \tan ^{-1} \frac{2 x}{1-x^2} d x=

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Correct option: D

2 x \tan ^{-1} x-\log \left(1+x^2\right)+c

Option D (

2 x \tan ^{-1} x-\log \left(1+x^2\right)+c

) is correct because substituting

x = \tan \theta

simplifies the integral, and integration by parts yields the correct result.

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