The provided image shows problems based on the Properties of Definite Integrals and includes a graph of $f(x)$, which consists of line segments and a semicircle. The problems require evaluating definite integrals by using geometry (areas under the curve) and the graph itself.

Let me analyze the graph and solve one or more of these integrals for you. Do you have a specific problem from this sheet you want me to work on?