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Find the area enclosed by the curve y = cos² x, the x-axis, and the vertical lines x = 0 and x = π over the interval (0, π).

1. 2π/3
2. 2π
3. π
4. π/2

Correct answer: π/2

Solution

Area = integral 0->pi cos^2 x dx = integral 0->pi (1+cos2x)/2 dx = pi/2.

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