JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of

\int\limits_{{-\pi / 4}}^{\pi / 4} \frac{(\pi-4 \theta) \tan \theta}{1-\tan \theta} \mathrm{d} \theta

is equal to :

View answer and explanation

Correct option: C

\pi \ln 2-\frac{\pi^2}{4}

Option C (\

\pi \ln 2 - \frac{{\pi^2}}{{4}}

) is correct because it is the result of evaluating the definite integral using properties of definite integrals and integration by parts.

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