The value of the inkegral|DEFINITE INTEGRATION|JEE MAIN 2021

JEE MAIN_2021_

27-8-2021_S2

Question

The value of the inkegral $\int_0^1 \frac{\sqrt{x} d x}{(1+x)(1+3 x)(3+x)}$ is :

Select the correct option:

$\frac{\pi}{8}\left(1-\frac{\sqrt{3}}{2}\right)$

$\frac{\pi}{4}\left(1-\frac{\sqrt{3}}{6}\right)$

$\frac{\pi}{8}\left(1-\frac{\sqrt{3}}{6}\right)$

$\frac{\pi}{4}\left(1-\frac{\sqrt{3}}{2}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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