∫₀^∞ 6/(e^{3x}+6e^{2x}+1) dx... | Definite Integration | JEE Main

JEE MAIN 2023

13-4-2023 S1

Question

$\int_0^{\infty} \frac{6}{e^{3 x}+6 e^{2 x}+1}$

Select the correct option:

A

$\log _e\left(\frac{512}{81}\right)$

B

$\log _e\left(\frac{32}{27}\right)$

C

$\log _e\left(\frac{256}{81}\right)$

D

$\log _e\left(\frac{64}{27}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun