Webpage title: Solving Integrals Using Substitution Method

[ibysaiyan]

Homework Statement

Question is:Integrate x(2x+1)^8 dx in terms of x.

Homework Equations

The Attempt at a Solution

Here is how i started off:by relabeling them.
let u = 2x+1. du/dx = 2.
dx=du/2.

Also x=u-1/2.
So my terms now are: Integral (u-1/2)u^8 (du/2) <- this is where i am slightly confused i know i need to take out common term and just do i simple integration :/ can anyone hint me.
Thanks

 

[Dick]

Now just multiply it out to get simple power terms.