$\mathop \smallint \nolimits_0^\pi \,\,\frac{{x\,\,dx}}{{1\,\, + \,\,\sin \,\,x}}\,\,{\rm{is }}\,{\rm{equal}}\,{\rm{ to}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \nolimits_0^\pi \,\,\frac{{x\,\,dx}}{{1\,\, + \,\,\sin \,\,x}}\,\,\mathrm{is }\,\mathrm{equal}\,\mathrm{ to}

View answer and explanation

Correct option: C

\pi

Option C (

\pi

) is correct because after applying the property of definite integrals and simplifying, the integral evaluates to

\pi

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