The value of the definite integral ∫₋π/4^π/4... | Definite Integral

JEE MAIN 2021

27-07-21 S1

Question

The value of the definite integral $\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \frac{d x}{\left(1+e^{x \cos x}\right)\left(\sin ^4 x+\cos ^4 x\right)}$ is equal to :

Select the correct option:

$-\frac{\pi}{2}$

$\frac{\pi}{2 \sqrt{2}}$

$-\frac{\pi}{4}$

$\frac{\pi}{\sqrt{2}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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