(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Describe the strategy you would use to (integrate:

cot^m x)(csc^n x)dx, if m and n are odd.

2. Relevant equations

I know the integral of cosecant is ln |sec x + tan x| + C

I also know the integral of cotangent is ln |sinx| + C

But I have no clue how this would apply to odd powers and multiplying them together.

3. The attempt at a solution

I know how to multiply odd powers of sine and cosine, but for cosecant and cotangent, I have no clue where to get started. The question isn't asking me to actually integrate, but just to describe how I would integrate. Does this integration parallel the corresponding rules for odd powers and multiplication of tanx and secx? Help, please.

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# Integration of odd power of cotangent multiplied by odd power of cosecant

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