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int(1+cos4x)/(cotx-tanx)dx...

`int(1+cos4x)/(cotx-tanx)dx`

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`int(1+cos4x)/(cotx-tanx)dx`
`=int(1+cos4x)/((cos^2x-sin^2x)/(sinxcosx))dx`
`=int((2cos^2(2x))/(2cosx))sinxcosxdx`
`=intcos2x.sin2x dx`
`(1/2)intsin4x dx`
`=(-1/8)cos4x+C`
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