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Find the area lying above the x-axis and under the curve y = |cos x - sin x| for 0 <= x <= pi/2.

1. 2*sqrt(2) - 2
2. 2*sqrt(2)
3. 2*sqrt(2) + 2
4. 0

Correct answer: 2*sqrt(2) - 2

Solution

Each piece integrates to sqrt(2) - 1, so the total area is 2(sqrt(2) - 1) = 2*sqrt(2) - 2.

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