MATH 1172 Midterm: MATH 1172 Ohio State University Math 1172 6.4 Fa 2014

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1172
• Professor: All

Document Summary

Table 1: shell vs washer method x x y y. 2 r b a x(top(x) bot(x))dx a out(x)2 in(x)2dx a y(top(y) bot(y))dy a out(y)2 in(y)2dy. Find an integral representing the volume of s. (once we learn integration by parts you should be able to do this integral. ) 1: let r be the region bounded by y = x x4 and y = 0. Let s be the solid generated by revolving r about the y-axis. Use either washers method or shell method to nd the volume of s: let r be the region bounded by y = 6/(x + 3) and y = 2 x. Let s be the solid generated by revolving r about the x-axis. Find the volume of s rst by using washers method and second by using shell method. 6. (test question) consider the region under the graph y = over the interval. 0 x 1, where a > 0 is a constant.