∫1(x−1)3(x+2)51/4dx is equal to
43x−1x+21/4+C
43x+2x-11/4+C
13x−1x+21/4+C
13x+2x-11/4+C
l=∫1(x−1)3(x+2)51/4dx =∫1x−1x+23/4(x+2)2dx Let x−1x+2=t⇒3dx(x+2)2=dt⇒ l=13∫1t3/4dt =13t1/41/4+C=43t1/4+C=43x−1x+21/4+C