# I got one problem

1. Homework Statement

integral of csc^3(x)cot(x)

2. Homework Equations

I tried using trig identity 1+cot^2(x)=csc^2(x) but I got result where I cancelled my indegrals.

3. The Attempt at a Solution

I tried to substitute the above mentioned indentity for csc^2 but I end up getting -cscx + intgr. cscxcot^3(x). I then substituted for cot^2 but then got to the point where I had -cscx + intgr. csc^(3)xcotx + cscx. At this point everything cancelled out. I also tried substituting sin and cos in the original equation but that didn't get me anywhere neither.

Related Calculus and Beyond Homework Help News on Phys.org
Try splitting csc3(x)cot(x) into csc2(x)*(csc(x)cot(x)) does that help at all?

mjsd
Homework Helper
write out $$\csc^3 (x), \cot(x)$$ in terms of $$\cos(x), \sin(x)$$ and use subsitution or do by inspection

HallsofIvy