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Evaluate: int1/(sin(x-a)sin(x-b))dx...

Evaluate: `int1/(sin(x-a)sin(x-b))dx`

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Given, `int1/(sin(x-a)sin(x-b))dx`
=`1/sin(b-a)intsin[(x−a)−(x−b)]/(sin(x-a)sin(x-b))dx`
=`1/sin(b-a)int[sin(x−a)cos(x-b)−sin(x−b)cos(x-a)]/(sin(x-a)sin(x-b))dx`
=`1/sin(b-a)∫[cot(x−b)−cos(x−a)].dx`
=`1/sin(b-a)log[sin(x−b)/sin(x−a)​]+c`
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