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For which value(s) of c is the area of the region bounded by y = sin 2x, the vertical lines x = pi/6 and x = c, and the x-axis equal to 1/2?

1. -pi/6
2. pi/3
3. pi/6
4. none of these

Correct answer: pi/3

Solution

Evaluating the integral gives (1/2)(cos(pi/3) - cos 2c) magnitude = 1/2; solving yields c = pi/3 as a valid value.

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