I'm really spinning my wheels on this one:
Let's just start with the general antiderivative:
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?