JEE Main 2004Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002If ∫sinxsin(x−α)dx=Ax+Blogsin(x−α),+C,\int {{{\sin x} \over {\sin \left( {x - \alpha } \right)}}dx = Ax + B\log \sin \left( {x - \alpha } \right), + C,}∫sin(x−α)sinxdx=Ax+Blogsin(x−α),+C, then value of (A,B)(A, B)(A,B) isAOption A. (−cosα,sinα)\left( { - \cos \alpha ,\sin \alpha } \right)(−cosα,sinα)BOption B. (cosα,sinα)\left( { \cos \alpha ,\sin \alpha } \right)(cosα,sinα)COption C. (−sinα,cosα)\left( { - \sin \alpha ,\cos \alpha } \right)(−sinα,cosα)DOption D. (sinα,cosα)\left( { \sin \alpha ,\cos \alpha } \right)(sinα,cosα)CheckSkip · show solution