1. Find the volume of the solid obtained by rotating the region bounded by the graphs of y (1/10 x²+1)^4, y = 0, x = 0, and x = 2 around the y-axis. 2. Consider the graph of y = sinx, 0≤x≤ π and the region between it and the x-axis. a. Set up an integral that calculates the length of this curve. You do not need to evaluate this integral (we'll learn that later in our course). b. Set up an integral that calculates the surface area of the solid obtained by rotating the region around the x-axis You do not need to evaluate this integral (we'll learn that later in our course). c. Set up an integral that calculates the volume of the solid obtained by rotating the region around the z-axis You do not need to evaluate this integral (we'll learn that later in our course).