D (J 2 Whatis step 1 for calculating volumes by shells? Figure out that the radius, height, etc. and set dV" equal to that. See where that x or y hits any curves, and mark that on the other axis. Pick a rectangular piece that is parallel to the axis of rotation and mark the position of that with either = or y depending. SetV = / dV and get the entire integral in terms of your x or y, whatever you are integrating with respect to (including the definite limits). D P Compare using the method of volume by disks and volume by shells by completing this problem using both methods. Find the volume obtained by rotating the region bounded by the curve y = v/ & 5 and the x-axis on the interval [5, 10]. Make sure you label which method is which. ]:l () 4. Use the method of shells to calculate the volume that is created when the following area is revolved around the indicated axis. Use your calculator to evaluate the integral. y = sin 3z =l around the y-axis |:| (D 1. Use the method of shells to calculate the volume that is created when the following area is revolved around the indicated axis. Use your calculator to evaluate the integral. p) (= ) Ti=r2 G o TN TRV S