JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

\int \nolimits_{ - 1/2}^{1/2} \,\,\cos \,\,x\,\,\log \,\,\left( {\frac{{1 + x}}{{1 - x}}} \right)\,\,dx = k\,\,.\,\,\log \,\,2

, then

k

equals

View answer and explanation

Correct option: A

\mathrm{0}

Option A (

\mathrm{0}

) is correct because the integrand is an odd function, and the integral is evaluated over a symmetric interval.

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