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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

If ∫ ( x)/( (x - α)) dx = Ax + B (x - α) + C , then value of (A, B)...

If ∫sin⁡xsin⁡(x−α)dx=Ax+Blog⁡sin⁡(x−α)+C\int \frac{\sin x}{\sin (x - \alpha)} dx = Ax + B \log \sin (x - \alpha) + C, then value of (A,B)(A, B) is :

Options

  1. A(sin⁡α,cos⁡α)(\sin \alpha, \cos \alpha)
  2. B(cos⁡α,sin⁡α)(\cos \alpha, \sin \alpha)
  3. C(−sin⁡α,cos⁡α)(-\sin \alpha, \cos \alpha)
  4. D(−cos⁡α,sin⁡α)(-\cos \alpha, \sin \alpha)

Correct answer

B. (cos⁡α,sin⁡α)(\cos \alpha, \sin \alpha)

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