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Indefinite Integrals question

2004 · Shift 0 · Q82
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Indefinite Integrals question

2004 · Shift 0 · Q82

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1
If ∫sin⁡xsin⁡(x−α)dx=Ax+Blog⁡sin⁡(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)sinx​dx=Ax+Blogsin(x−α),+C, then value of (A,B)(A, B)(A,B) is
  1. A
    (−cos⁡α,sin⁡α)\left( { - \cos \alpha ,\sin \alpha } \right)(−cosα,sinα)
  2. B
    (cos⁡α,sin⁡α)\left( { \cos \alpha ,\sin \alpha } \right)(cosα,sinα)
  3. C
    (−sin⁡α,cos⁡α)\left( { - \sin \alpha ,\cos \alpha } \right)(−sinα,cosα)
  4. D
    (sin⁡α,cos⁡α)\left( { \sin \alpha ,\cos \alpha } \right)(sinα,cosα)
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