JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \limits_0^{\pi /3} \,\,\frac{{\cos \,\,x}}{{3 + 4\,\,\sin \,\,x}}\,\,dx = k\,\,\log \,\,\left( {\frac{{3 + 2\,\sqrt 3 }}{3}} \right)

, then

k

View answer and explanation

Correct option: C

\mathrm{1}\,\mathrm{/}\,\mathrm{4}

Option C (

\mathrm{1}\,\mathrm{/}\,\mathrm{4}

) is correct because the integral evaluates to

\frac{1}{4}\,\log \left( {\frac{{3 + 2\,\sqrt 3 }}{3}} \right)

, thus

k = \frac{1}{4}

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