Problem 6 (4pm): Find the W ofthe curvey = tan1(x2) on the interval [-1, 1]. Set up the integral and then use your calculator to approximate the arc length to 4 decimal places. Do not try to integrate this one by hand Problem 7: The region R is in the rst quadrant and bounded by the curves x : y2 + 2 , y z x 4, and the x-axis. [see figure]. [l a] {4 pts} Find the m of region R. Include a sketch region in your work with an example rectangular slice in the graph for setting up the integral. b) (4 pts) Use the Disk/Washers method to nd the 19111111: ofthe solid generated when R is revolved around the y-axis. Include a sketch of the region on your paper with an example rectangular slice in the graph below for setting up the Disk/Washers Method. Problem 8 (4 pits}: mm to set up an integral that calculates the 291m of the solid generated when the region bounded by the curves y = (cos(x) 2) sin(x) and y = 0 [see gure below] , is revolved about the line x = 4-. Include a sketch of the region with an example rectangular slice in the graph for setting up the Shell Method. _\ Ecuss- Ilslnx