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Evaluate: int1/(sin^2x+sin2x)\ dx...

Evaluate: `int1/(sin^2x+sin2x)\ dx`

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`int1/(sin^2x+sin2x)\ dx`
`=int frac{frac{1}{cos^2x}}{frac{sin^2x}{cos^2x}+frac{2sinxcosx}{cos^2x}}dx`
`=int frac{sec^2x}{tan^2x+2tanx}dx`
`x=t` and `tanx=t`
`sec^2dx=dt`
`=int frac{dt}{t^2+2t}`
`1/(t(t+2))=A/t+B/(t+2)`
`1=(A+B)t+2A` ...
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