The value of $\mathop \smallint \nolimits_0^{\pi /2} \,\,\frac{{\cos \,\,3x\,\, + \,\,1}}{{2\,\,\cos \,\,x\,\, - \,\,1}}\,\,dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The value of

\int \nolimits_0^{\pi /2} \,\,\frac{{\cos \,\,3x\,\, + \,\,1}}{{2\,\,\cos \,\,x\,\, - \,\,1}}\,\,dx

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Correct option: B

\mathrm{1}

Option B (1) is correct because after applying trigonometric identities and simplifying, the integral evaluates to 1.

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