Once you finish correcting the above, I would draw a right triangle with theta as the angle, and the sides labeled appropriately for your trig substitution. Then you can figure out how to get back to the t domain. Alternatively, you can transform the limits into the theta domain. Either way should work.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?