Question

can you help me w/ this?
indefinite integral of u(1+u)^(2/3) du

Answer 1

Make a substitution s=u-1 and ds=du. The integral becomes:
integral of (s-1)s^(2/3)ds
integrate this by distributing and using power rule to get 3/8*s^(8/3)-3/5*s^(5/3)+C
back substitute our u back in, and we get:
3/8*(u+1)^(8/3)-3/5*(u+1)^(5/3)+C

Answer 2

thanks.. It helps a bit...
It was actually a part of a larger problem...

Answer 3

The substitution should be s=u+1. Oops.