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Evaluate the following integrals : int(...

Evaluate the following integrals :
`int(cos x)/(1-cos x)dx`
`OR`
`int (cot x)/(cosec x-cotx)dx`

Text Solution

Verified by Experts

Given,I=`int(cotx)/(cos e cx-cotx)dx`
I=`int[(cotx)(cos e cx+cotx)]/[(cos e cx-cotx)(cos e cx+cotx))]dx`
I=`int(cotxcos e cx+cot^2x)`
I=`int(cotxcos e cx+cosec^2x-1)`
I=`cos e cx-cotx-x+c`
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