The value of $\mathop \smallint \limits_0^{\pi /2} \,\,\frac{{\sin \,\,8x\,\,\log \,\,\cot \,\,x}}{{\cos \,\,2x}}\,\,dx$, is

$\frac{{{\rm{5}}\,{\rm{\pi }}}}{{\rm{2}}}$

$\frac{{{\rm{3}}\,{\rm{\pi }}}}{{\rm{2}}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The value of

\int \limits_0^{\pi /2} \,\,\frac{{\sin \,\,8x\,\,\log \,\,\cot \,\,x}}{{\cos \,\,2x}}\,\,dx

, is

View answer and explanation

Correct option: A

0

Option A (0) is correct because the integrand is an odd function, and the integral of an odd function over a symmetric interval is zero.

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