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

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

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

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

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