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Evaluate: int(x-sinx)/(1-cosx)dx...

Evaluate: `int(x-sinx)/(1-cosx)dx`

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`int (x-sin x) /(1-cos x) dx`
` =int (x-2sin.(x)/(2)cos.(x)/(2))/(2sin^(2).(x)/(2))dx`
`=int(x)/(2sin^(2).(x)/(2))dx- int (2sin.(x)/(2) cos.(x)/(2))/(2sin^(2).(x)/(2))dx`
`=1/2 int x " cosec"^(2) .(x)/(2) dx- int cos .(x)/(2) dx`
` =1/2 [x int " cosec"^(2).(x)/(2) dx- int {(d)/dx) x int " cosec"^(2) .(x)/(2) dx } dx]`
` - int cot .(x)/(2) dx`
`=1/2[x ((-cot.(x)/(2)))/((1)/(2))-int1.((-cot.(x)/(2)))/((1)/(2))dx ]- int cot .(x)/(2) +c`
`=- x cot .(x)/(2) + int cot .(x)/(2) dx - int cot .(x)/(2) dx +c`
`=- cot .(x)/(2) +c`
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