JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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

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Correct option: B

\frac{-x^2}{(x \tan x+1)}+2 \ln |x \sin x+\cos x|+C

Option B (

\frac{-x^2}{(x \tan x+1)}+2 \ln |x \sin x+\cos x|+C

) is correct because integrating by parts and simplifying leads to this result.

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