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

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

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`int e^(x)((1-sinx)/(1-cosx))dx`
`=int e^(x) ((1-2"sin"(x)/(2)"cos"(x)/(2))/(2"sin"^(2)(x)/(2)))dx`
`=int e^(x)((1)/(2)"cosec"^(2)(x)/(2)-"cot"(x)/(2))dx`
`=-int e^(x)("cot"(x)/(2)+("cot"(x)/(2))^('))dx`
`= -e^(x) "cot"(x)/(2)+c`
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