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Evaluate : int (" sin 2 x ") /(" sin 5x...

Evaluate : ` int (" sin 2 x ") /(" sin 5x. sin 3x ") "dx "`

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` " Let I " int (" sin 2 x ") /(" sin 5x. sin 3x ") "dx "`
` = int (" sin 2x")/(" sin 5x . sin 3x ") " dx "`
`= int (" sin (5x-3x)")/(" sin 5x . sin 3x ") " dx "`
` = int ("sin 5x . cos 3x -cos 5x. sin 3x ")/ (" sin 5x. sin 3x ") " dx "`
` = int (" sin 5x. cos 3x ")/("sin 5x. sin 3x ") " dx " - int (" cos 5x. sin 3x ")/(" sin 5x . sin 3x ") " dx "`
` = int" cos 3x. dt - int cot 5x .dx "`
` =1/3 log | sin 3x | - 1/5 log | sin 5x | +c`
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