The value of $\mathop \smallint \limits_0^{\pi /2} \,\,\frac{{x\,\, + \,\,\sin \,\,x}}{{1\,\, + \,\,\cos \,\,x}}\,\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The value of

\int \limits_0^{\pi /2} \,\,\frac{{x\,\, + \,\,\sin \,\,x}}{{1\,\, + \,\,\cos \,\,x}}\,\,dx

, is

View answer and explanation

Correct option: C

\pi /2

The correct answer is C (

\pi /2

) because the integral can be solved by splitting the integrand and using integration by parts.

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