The graph of is a horizontal line. So the area under on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.
The graph of is the upper half of a circle with radius . It's symmetric about , so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is .
Then use the fact that the definite integral is distributive over sums, meaning
