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intcot^5x dx cot x dx...

`intcot^5x dx` cot x dx

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Given,
`I=intcot^5x dx`
`=∫cot^3xcot^2xdx`
`=∫cot^3x[cosec^2x−1]dx`
`=∫cot^3xcosec^2x−∫cot^3xdx`
`=−∫cot^3x d(cot x)−∫cot^3x dx`
`=∫ (−cot^4x)/4​−∫cot^2xcot xdx`
...
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