Consider the indefinite integral
The most appropriate substitution to simplify this integral is where =
We then have where =
Hint: you need to back substitute for in terms of for this part.
After substituting into the original integral we obtain where = +
To evaluate this integral rewrite the numerator as simplify, then integrate, thus obtaining where = +
After substituting back for we obtain our final answer = +
You can earn full credit by answering just the last part.