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int(dx)/((1-tanx))=?...

`int(dx)/((1-tanx))=?`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)x-(1)/(2)log|sinx-cosx|+C`
`I=int(-cosx)/(sinx-cosx)dx=int((sinx-cosx)-(sinx+cosx))/(2(sinx-cosx))dx`.
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