If the value of the integral $\int_\limits{-1}^1 \frac{\cos \alpha x}{1+3^x} {dx}$ is $\frac{2}{\pi}$. Then, a value of $\alpha$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

If the value of the integral

\int\limits_{{-1}}^1 \frac{\cos \alpha x}{1+3^x} {dx}

\frac{2}{\pi}

. Then, a value of

\alpha

View answer and explanation

Correct option: B

\frac{\pi}{2}

Option B (

\frac{\pi}{2}

) is correct because it satisfies the integral equation after applying properties of definite integrals.

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