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Find the area enclosed by the graph of y = |cos x - sin x| and the x-axis for 0 ≤ x ≤ π/2.

1. 2√2
2. 2√2 - 2
3. 2√2 + 2
4. 0

Correct answer: 2√2 - 2

Solution

The area under the curve y = |cos x - sin x| from 0 to π/2 can be calculated by integrating the function, which simplifies to 2√2 - 2 after evaluating the definite integral. This accounts for the positive values of the function in the specified interval.

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