The Value of ∫₀^π e^(cos x) sin... |JEE Main 2022 | Definite

JEE MAIN 2022

25-6-2024 S1

Question

The value of $\int_0^\pi \frac{e^{\cos x} \sin x}{\left(1+\cos ^2 x\right)\left(e^{\cos x}+e^{-\cos x}\right)} d x$ is equal to

Select the correct option:

A

$\frac{\pi^2}{4}$

B

$\frac{\pi^2}{2}$

C

$\frac{\pi}{4}$

D

$\frac{\pi}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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