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**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.