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Evaluate: intcos 2 theta ln((cos theta+s...

Evaluate: `intcos 2 theta ln((cos theta+sin theta)/(cos theta-sin theta))d theta`

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`I=intcos 2 theta log_(e)((cos theta+sin theta)/(cos theta-sin theta))d theta`
`= log_(e)((cos theta+sin theta)/(cos theta-sin theta)) int cos 2 theta d theta-int([log_(e)((cos theta+sin theta)/(cos theta-sin theta))]^(') int cos 2 theta d theta) d theta`
`=(sin 2 theta)/(2)log_(e)((cos theta+sin theta)/(cos theta-sin theta))-int (sin 2 theta(cos theta-sin theta))/(2(sin theta+cos theta))*(2)/((cos theta-sin theta)^(2))d theta`
`=(sin 2 theta)/(2)log_(e)((cos theta+sin theta)/(cos theta-sin theta))-int tan 2 theta d theta`
` :. I= sin 2 theta log_(e) sqrt((sin theta+cos theta)/(cos theta-sin theta))-(1)/(2)log_(e)|sec 2 theta|+c`
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