Class 12 Integrals · Mcq Single Correct1 Marksintegration
Class 12 Maths · Integrals · Mcq Single Correct #7
For real a,b with \(\sin(b-a)\ne0\), evaluate \(\int dx/[\sin(x-a)\sin(x-b)]\) on an interval avoiding the poles.
✅ Step-by-Step Solution
Final Answer: Option (C): \(\csc(b-a)\ln|\sin(x-b)/\sin(x-a)|+C\)
- Use cot(x−b)−cot(x−a)=sin(b−a)/[sin(x−a)sin(x−b)]. Integrating the cotangents yields option c.
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