[((cotx)^(1/3))((csc^4(x))]

Question

i don't understand how to integrate the first part because it should be either even or odd, but this is neither.. help!

Answer 1

let u = cot(x)
du = -csc^2(x) dx

csc^4 = csc^2 * (1+cot^2)
and we have

-u^(1/3)(1+u^2) du

That should pose no problem.