I'm really spinning my wheels on this one:

Let's just start with the general antiderivative:

let

then

I know that substituting

for

yields

. This is what I get next (general antiderivative):

Assuming that this substitution is correct, I then simplify the equation by canceling common factors, and I get:

which integrates to

So, two questions:

1) Am I right to this point (solving for the general antiderivative), and if not, where am I going wrong?

2) Where I am really stuck is in trying to get the definite integral. How do I convert my boundaries from t to

or get my general antiderivative back into t? This is really confusing to me.

Can anybody help?

Thanks!