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please integrate the question: dx/sin(x-a).cos(x-b)=?

please integrate the question: dx/sin(x-a).cos(x-b)=?

Grade:12

1 Answers

Aditya Gupta
2075 Points
2 years ago
Multiply and numerator and denominator by cos(b-a)
Then write the cos(b-a) in numerator as cos((x-a)-(x-b)) and expand it as cos(x-a)cos(x-b) + sin(x-b)sin(x-a)
After that we will only have to integrate cot and tan function whose integral we already know.
 

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