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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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If polynomials PP and QQ satisfies
∫((3x−1)cos⁡x+(1−2x)sin⁡x)dx\int((3 x-1) \cos x+(1-2 x) \sin x) d x
=Pcos⁡x+Qsin⁡x=P \cos x+Q \sin x
(ignoring the constant of integration) then
View answer and explanation
Correct option: D
Q=3(x−1)Q=3(x-1)
Option D (Q=3(x−1)Q=3(x-1)) is correct because after integrating by parts and comparing coefficients, Q is found to be 3(x-1).

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