JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{\sin x}{\sin (x-\alpha)} d x=A x+B \log \sin (x-\alpha)+C

, then value of

(A, B)

is:

View answer and explanation

Correct option: B

(\cos \alpha, \sin \alpha)

Option B (

\cos \alpha, \sin \alpha

) is correct because by substituting

x - \alpha = t

, the integral can be simplified and solved, leading to the coefficients of x and the logarithmic term being

\cos \alpha

and

\sin \alpha

respectively.

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