int (sin x+cos x)/(sin^(4)x+cos^(4)x)dx...

`int (sin x+cos x)/(sin^(4)x+cos^(4)x)dx`

Verified by Experts

The correct Answer is:

`(1)/(sqrt(2)){(1)/(2a)log|(a+z)/(a-z)|+(1)/(b)tan^(-1)(z)/(b)}+k`
where `a^(2)=sqrt(2)+1, " "b^(2)=sqrt(2)-1" "`and
z=sin x-cosx

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