$\mathop \smallint \limits_0^\pi \,\,\frac{1}{{1 + {3^{\cos x}}}}\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \limits_0^\pi \,\,\frac{1}{{1 + {3^{\cos x}}}}\,\,dx

is equal to

View answer and explanation

Correct option: C

\pi /2

Option C (

\pi /2

) is correct because it is the value obtained after evaluating the definite integral using the property of definite integrals.

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