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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Area of region ∣cos⁡x−sin⁡x∣≤y≤sin⁡x|\cos x-\sin x| \leq y \leq \sin x for x∈(0,π/2)x \in(0, \pi / 2) is
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Correct option: C
(5+1−22)(\sqrt{5}+1-2 \sqrt{2}) sq. unit
The correct answer is C (5+1−22\sqrt{5}+1-2 \sqrt{2}) sq. unit because it represents the area of the region calculated by integrating the difference between the functions.

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