1. Given the region bounded by the graphs of y = x sin x, y = 0, x = 0, and x = 7, find the area of the region. 2. Given the region bounded by the graphs of y = x sin x, y = 0, x = 0, and x = volume of the solid generated by rotating the region about the x-axis. , find the 3. Given the function y = 4 for 0 < x < 4 is rotated about the line y = b. Find the volume as a function of b. Using calculus, find the value b that minimizes the volume of the solid.