JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \sec ^3 2 \theta d \theta

is equal to

View answer and explanation

Correct option: B

\frac{1}{4} \sec 2 \theta \tan 2 \theta+\ln \sqrt{\sec 2 \theta+\tan 2 \theta}+c

Option B (

\frac{1}{4} \sec 2 \theta \tan 2 \theta+\ln \sqrt{\sec 2 \theta+\tan 2 \theta}+c

) is correct because it is the result of integrating

\sec^3 2\theta

using integration by parts and standard integral formulas.

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