The value of the integral $\mathop \smallint \limits_0^\pi \,\,\log \,\,\left( {1\,\, + \,\,\cos \,\,x} \right)\,\,dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The value of the integral

\int \limits_0^\pi \,\,\log \,\,\left( {1\,\, + \,\,\cos \,\,x} \right)\,\,dx

View answer and explanation

Correct option: B

- \,\pi \,\,\log \,\,2

Option B (

- \pi \log \\,2

) is correct because the integral is solved using trigonometric identities and properties of logarithms and definite integrals.

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