If the value of integral |DEFINITE INTEGRATION| JEEMAIN 2020

JEE-MAIN 2020

03-09-2020 S2

Question

If the value of the integral $\int_0^{1 / 2} \frac{x^2}{\left(1-x^2\right)^{3 / 2}} d x$ is $\frac{k}{6}$, then $k$ is equal to:

Select the correct option:

$2 \sqrt{3}+\pi$

$3 \sqrt{2}-\pi$

$3 \sqrt{2}+\pi$

$2 \sqrt{3}-\pi$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

Start Preparing for JEE with Competishun