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

2081 Points
3 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.