Mathematics · 2021
JEE Main · 27 August 2021, Shift 2 · Q70
The value of the integral ∫_0^1 (√ x d x)/((1+x)(1+3 x)(3+x)) is:
The value of the integral $\displaystyle \int_0^1 \frac{\sqrt{x} \mathrm{~d} x}{(1+x)(1+3 x)(3+x)}$ is :
Official answer
(1)
$\displaystyle \frac{\pi}{8}\left(1-\frac{\sqrt{3}}{2}\right)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.