Hello, whitex!

Welcome aboard!

I'll run through the first one . . . it takes quite a bit of work.

We use a Trig Substitution . . .

Let:

. . and: .

Substitute: .

Integrate: . .[1]

Back-substitute: .

We see that is in a right triangle with: .

. . Using Pythagorus, we have: .

Hence: .

Substitute into [1]: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

This answer can be simplified further . . .

. .