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Evaluate: (i) intcot^5x\ dx (ii) intcot^...

Evaluate: (i) `intcot^5x\ dx` (ii) `intcot^6x\ dx`

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(i) `=int cot ^{4} x cdot cot x d x `
`=int(cosec^{2} x-1)^{2} cot x d x `
`=int(cosec^{4} x-2 cosec^{2} x+1) cot x d x `
`=int cosec^{4} x cdot cot x d x-2 int cot x cdot cosec^{2} x d x+int cot x d x `
`=int cosec^{2} x cdot cosec^{2} x cdot cot x cdot d x-2 int cot x cosec^{2} x d x+int cot x d x `
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