JEE Main 2021 (31 Aug, Shift 1) Maths Q70: Integrals

Question

The integral $\int\frac{1}{\sqrt[4]{(x-1)^3(x+2)^5}}\,dx$ is equal to :
(where C is a constant of integration)

Accepted Answer

Option 1: $\frac{4}{3}\left(\frac{x-1}{x+2}\right)^{\frac{1}{4}}+\mathrm{C}$

Answer

$\frac{4}{3}\left(\frac{x-1}{x+2}\right)^{\frac{1}{4}}+\mathrm{C}$

Answer

$\frac{3}{4}\left(\frac{x+2}{x-1}\right)^{\frac{1}{4}}+\mathrm{C}$

Answer

$\frac{4}{3}\left(\frac{x-1}{x+2}\right)^{\frac{5}{4}}+\mathrm{C}$

Answer

$\frac{3}{4}\left(\frac{x+2}{x-1}\right)^{\frac{5}{4}}+\mathrm{C}$

JEE Main 31 August 2021, Shift 1, Maths Q70