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Evaluate: int((3sinx-2)cosx)/(5-cos^2x-4...

Evaluate: `int((3sinx-2)cosx)/(5-cos^2x-4sinx)\ dx`

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`int((3sinx-6+4)cosx)/(4+1-cos^2x-4sinx)dx`
`int([3(sinx-2)+4]cosx)/(sin^2x-4sinx+4)dx`
`int([3(sinx-2)+4]cosx)/(sinx-2)^2dx`
Let t=sinx
dt=cosxdx
`=int(3(t-2)+4)/(t-2)^2dt`
`=int3/(t-2)dt+int4/(t-2)^2dt`
`=3log|t-2|+4*1/(1-2)*1/(t-2)+c`
...
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