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## Homework Statement

Find

∫sqroot((cosx-cos^3(x))/(1-cos^3(x)))

**2. The attempt at a solution**

I tried taking cosx common on top which gives cosxsin^2(x), but it didn't give me any benefit, I tried splitting the numerator, factoring in sec^2(x) and a bunch of substitutions to no avail. Finally exhausted and out of insights I'm posting it here, would be glad if someone can help me with this

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