JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \sec ^2 \theta(\sec \theta+\tan \theta)^2 d \theta

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Correct option: C

\frac{(\sec \theta+\tan \theta)}{3}[2+\tan \theta(\sec \theta+\tan \theta)]+C

Option C (

\frac{(\sec \theta+\tan \theta)}{3}[2+\tan \theta(\sec \theta+\tan \theta)]+C

) is correct because after substituting

t = \sec \theta + \tan \theta

and simplifying, we obtain the given result.

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