So I just passed my first year, but I failed calc 2... badly

I'll have to retake it next summer, but until then I would like to ask some questions that I saw on the 2009 exam.

The past exams can all be found at this website

Skule Courses - SKULE
the course is mat197

If you would like to, you can read it there for more clarity.

1. Evaluate the integral:

erhm... could anyone send me a link of the math functions?

Anyways, the integral of

x^2 dx / (x^2+64)^(3/2)

I first thought, maybe I should try some substitution, but that didn't work. The bottom looked eerily familiar to an inverse trig substitution style, that didn't work either. Then I thought, maybe I need to pull something out, like that 64=2^6 and (2^6)^3/2 = 2^9... and we could use that to some strange effect like completing the square.

The entire exam is attached to this post. Although you are welcome to do every single problem, it is not required, as I would like to tackle them a little more in depth than I had previously, before posting them. Many thanks to anyone who answers, to help this student in need.