Problem 1. The base of a solid is the region between one arch of the curve y = cos(x) and the x-axis. and cross- sections (\"slices\") of the solid perpendicular to the base (and to the X-aXis) are squares. Represent the volume of this solid as a denite integral, then evaluate the integral. Problem 2 Use denite integral to represent the area of the surfaces generated when the curve ofy = 2353 for 0 :1 X :1 2 is rotated about the Xaxis. Do not evaluate the integral. Problem 3 A spring has a natural length of 20 inches and a force of 30 lbs is required to stretch and hold the spring to a length of 26 inches. What is the work required to stretch the spring from a length of 23 inches to a length of 28 inches? Do not forget to convert inches into feet