JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{x \tan ^{-1} x}{\left(1+x^2\right)^{3 / 2}} d x=

View answer and explanation

Correct option: B

\frac{x-\tan ^{-1} x}{\sqrt{1+x^2}}+c

Option C (

\frac{\tan ^{-1} x-x}{\sqrt{1+x^2}}+c

) is correct because substituting

x = \tan \theta

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

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