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Evaluate: ∫ dx/ sin (x – a)sin (x – b)

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Evaluate: ∫ dx/ sin (x – a)sin (x – b)  

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The given integral is

= (1/ sin(b – a)) ∫ [cot(x – b) – cot(x – a)] dx 

= (1/ sin(b – a)) [log |sin(x – b)| – log |sin(x – a)|] + c 

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