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Evaluate int 1/(1+cosx)dx...

Evaluate `int 1/(1+cosx)dx`

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`int(1)/(1-tanx)dx=int(cosx)/(cosx-sinx)dx`
`=(1)/(2)int((cosx+sinx)+(cosx-sinx))/(cosx-sinx)dx`
`=(1)/(2)int(cosx+sinx)/(cosx-sinx)dx=(1)/(2)int 1dx`
`= -(1)/(2)int((d)/(dx)(cosx-sinx))/(cosx-sinx)dx+(1)/(2)x+c`
`= -(1)/(2)log_(e)|cosx-sinx|+(1)/(2)x+c`
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