# Math 1237.2/7.31. Set up, but do not evaluate, the integral

Math 1237.2/7.31. Set up, but do not evaluate, the integral to find the requested volume. For each part set up an integral using shells and by using disks or washers. For parts a) and b) use the region bounded by: y = x2 – 1, x = 0, y = 3 in quadrants I and IV.a) Find the volume of the solid created by rotating the given region about the line y = 4b) Find the volume of the solid created by rotating the given region about the line y = -22. Set up, but do not evaluate, the integral to find the requested volume. For each part set up an integral using shells and by using disks or washers. For parts a) and b) use the region bounded by: y = sin x, y = 0 on interval [0, π]a) Find the volume of the solid created by rotating the given region about the line x = πb) Find the volume of the solid created by rotating the given region about the line y = -1c) Find the volume of the solid created by rotating the given region about the line y = 2