JEE Main 2021 (3 Aug, Shift 2) Maths Q72: Integrals

Question

The integral $\int \frac{dx}{\sqrt{2x+5}-\sqrt{2x+3}}$ is equal to
(where C is a constant of integration)

Accepted Answer

Option 3: $\frac{1}{6}\left[(2x+5)^{\frac{3}{2}} + (2x+3)^{\frac{3}{2}}\right] + C$

Answer

$\frac{1}{3}\left[(2x+5)^{\frac{3}{2}} + (2x+3)^{\frac{3}{2}}\right] + C$

Answer

$\frac{1}{6}\left[(2x+5)^{\frac{2}{3}} + (2x+3)^{\frac{2}{3}}\right] + C$

Answer

$\frac{1}{6}\left[(2x+5)^{\frac{3}{2}} + (2x+3)^{\frac{3}{2}}\right] + C$

Answer

$\frac{1}{12}\left[(2x+5)^{\frac{2}{3}} + (2x+3)^{\frac{2}{3}}\right] + C$

JEE Main 3 August 2021, Shift 2, Maths Q72