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

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

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We have given,
`int frac{sin (x-a)}{sin (x-b)} d x`
Now add and subtract` b` in `(x-a)`,
`implies int frac{sin (x-a+b-b)}{sin (x-b)} d x `
`implies int frac{sin (x-b+b-a)}{sin (x-b)}`
As we know that
`sin (A+B)=sin A cos B+cos A sin B`
Here` A=x-b ; B=b-a`
...
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