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(cos 2x)/((cos x + sin x)^(2)) dx...

`(cos 2x)/((cos x + sin x)^(2)) dx`

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Given `(cos2x)/((cosx+sinx)^2)`
`=(cos2x)/(cos^2x+sin^2x+2sinxcosx)`
`=(cos2x)/(1+sin2x)`
`:.int(cos2x)/((cosx+sinx)^2)dx=int(cos2x)/(1+sin2x)dx`
...
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