I had a Calc 2 test today and I wanted to make sure that I was on the right track. There are two, specifically, that worry me. Here is the first with what I did. I'll post the other later.

1.

I used and for the first expression and was left with:

Then, on the second expression I used the inverse trigonometric identity of

So, I was left with:

Solving the remaining integral:

And substitute back:

Thoughts?

Thank you!