To perform a hook shot in a basketball game, Melanie sweeps the ball in a circular arc, pivoting her arm about the shoulder and releasing the ball from directly over her head. The center of the 1.25-pound basketball is held 3 feet from her shoulder, and Melanie begins the shot with her arm extended parallel to the ground, as shown in the figure. What integral represents the total amount of work Melanie does to hook-shoot the basketball?