with detailed solution

Given a region R enclosed by the curves (2, 4, 3 points) y = 1 + sin (), y=4- (2-2)2 and x = 2 4 as shown below. y Set up (and do not simplify) the (sum of) def- (2, 4) inite integral(s) equal to the following: 1. Arc length of the curve y = 4- (3-2 bor- dering the region R 2. Area of R using horizontal rectangles R 3. Volume of the solid generated when R is (2, 2) revolved about the line y = 4 using the method of washers (-2, 0)