The integral
\(\int\cfrac{1}{^4\sqrt{(x-1)^3(x+2)^5}}dx\)
∫ 1/4√(x-1)3(x+2)5 dx is equal to :
(where C is a constant of integration)
(1) \(\cfrac{3}{4}\left(\cfrac{x+2}{x-1}\right)^{1/4}+C\)
(2) \(\cfrac{3}{4}\left(\cfrac{x+2}{x-1}\right)^{5/4}+C\)
(3) \(\cfrac{4}{3}\left(\cfrac{x-1}{x+2}\right)^{1/4}+C\)
(4) \(\cfrac{4}{3}\left(\cfrac{x-1}{x+2}\right)^{5/4}+C\)