JEE PYQ: Definite Integration Question 26
Question 26 - 2020 (03 Sep Shift 2)
If the value of the integral $\int_0^{1/2} \dfrac{x^2}{(1 - x^2)^{3/2}},dx$ is $\dfrac{k}{6}$, then $k$ is equal to:
(1) $2\sqrt{3} - \pi$
(2) $2\sqrt{3} + \pi$
(3) $3\sqrt{2} + \pi$
(4) $3\sqrt{2} - \pi$