I'm working on a 19 page assignment for my calculus course. Unfortunately this is a distance course, and there aren't many places I can go to for help... so bre with me.

Question #1

(integral) (2 + 3cosx + (sinx)^3) / ((sinx)^2) dx

Developing... ((integral) (2/(sinx)^2) + (3cosx)/((sinx)^2) + sinx) dx

Might want to write that out before attempting since it's a little difficult to read it properly when typed out.

Note that (sinx)^3 should usually be written out (sin^3)x.

Question #2

(1/4)^x * 16^(x/2)

The answer, I believe, is 1. However I can't seem to reach this by applying exponential laws.