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Evaluate: int(sin2x)/(sin5xsin3x)dx...

Evaluate: `int(sin2x)/(sin5xsin3x)dx`

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`(sin2x)/(sin5xsin3x)=(sin(5x-3x))/(sin5xsin3x)`
`=(sin5xcos3x-cos5xsin3x)/(sin5xsin3x)`
`=(sian5xcos3x)/(sin5xsin3x)-(cos5xsin3x)/(sin5xsin3x)`
`=cot(3x)-cot(5x)`
`int(sin2x)/(sin5xsin3x)dx=int[cot3x-cot5x]dx`
`=1/3log|sin3x|-1/5log|sin5x|+c`.
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