The value of the integral|DEFINITE INTEGRATION|JEE-Main 2022

JEE MAIN 2022

24-06-2022 S2

Question

The value of the integral $\int_{-\pi / 2}^{\pi / 2} \frac{d x}{\left(1+e^x\right)\left(\sin ^6 x+\cos ^6 x\right)}$ is equal to

Select the correct option:

A

$2 \pi$

B

$0$

C

$\pi$

D

$\frac{\pi}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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