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

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

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Given:`int(sinx+cosx)/(sin^4x+cos^4x)dx`
`I=int(sinx+cosx)/(sin^4x+cos^4x)dx`
`I=int(sinx+cosx)/((sin^2x+cos^2x)^2-2sin^2xcos^2x)dx`
`I=int(sinx+cosx)/(1-2sin^2xcos^2x)dx`
`I=int2(sinx+cosx)/(2-4sin^2xcos^2x)dx`
`I=int2(sinx+cosx)/(2-sin^2 2x)dx`
Let `sinx-cosx=t`
`(cosx+sinx)dx = dt`
...
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