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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The primitive of the function f(x)=x∣cos⁡x∣f(x)=x|\cos x|, when π2<x<π\frac{\pi}{2} < x < \pi is given by
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Correct option: B
−cos⁡x−xsin⁡x+C-\cos x-x \sin x+C
Option B (−cos⁡x−xsin⁡x+C-\cos x-x \sin x+C) is correct because it represents the antiderivative of the function f(x)=x∣cos⁡x∣f(x)=x|\cos x| in the given interval.

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