Final answer:
The area under the function f(x) = 0.5 * sin(x) * cos(x) is determined by integrating the function between 0 and π/2.
Step-by-step explanation:
The question is asking about the area under the curve of the function f(x) = 0.5 * sin(x) * cos(x) on the interval from 0 to π/2. To find this area, we need to integrate the function within the given bounds. The integral of sin(x)cos(x) can be simplified by using a trigonometric identity, such as sin(2x) = 2sin(x)cos(x), which reduces the integral to 0.5 * ½ * sin(2x). After substituting the bounds into the antiderivative, we would get the exact area under the given curve.