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The area under the curve y = |cos x - sin x|, 0 ≤ x ≤ π/2, and above x-axis is:
- 2√2
- 2√2 - 2
- 2√2 + 2
- 0
Correct answer: 2√2 - 2
Solution
The area under the curve is calculated by integrating the absolute value of the difference between cosine and sine functions over the specified interval. The correct option, 2√2 - 2, accounts for the area where the curve is above the x-axis, reflecting the net area after considering the points where the functions intersect.
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