You would need to use integration by parts...
Let and .
Then and .
So
.
Evaluate the indefinite integral of x(2x+5)^8dx
Alright, so far I've got:
u=2x+5, du=2dx, (1/2)du=dx, x = (u-5)/2
integral of (u-5)/2*u^8*1/2du
1/2integral of (u-5)/2*u^8du
1/2 ((2x+5)-5)/2*((2x+5)^9)/9 + C
But this wasn't the answer...8( Am I doing something wrong?