Question

Please help ... how would I even begin this?

∫csc^10xcot^3x

Answer 1

I've gotten this far: ∫csc^10xcot^3x dx = ∫ (cot^2(x) +1)^5 cot^3(x) dx

then multiply through ... but I really want to know how to do this without resorting through the reduction formulas

Answer 2

i will give you a hint since I think you can do it by yourself.
the hint is