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Evaluate: int1/(1-cotx)\ dx...

Evaluate: `int1/(1-cotx)\ dx`

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`=1/(1-cotx)`
`=1/(1-(cosx/sinx))`
`=sinx/(sinx-cosx)`
`=1/2*(sinx-cosx+cosx+sinx)/(sinx-cosx)`
`=1/2+1/2*(cosx+sinx)/(sinx-cosx)`
`I=int[1/2+1/2*(cosx+sinx)/(sinx-cosx)]dx`
`=1/2intdx+1/2int(cosx+sinx)/(sinx-cosx)dx`
`=1/2x+1/2log|sinx-cosx|+c`.
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