MATH 1172 Midterm: MATH 1172 Ohio State University Math 1172 6.3 Fa 2014

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

Document Summary

Steps for volume by slicing: identify the variable of integration. Perpendicular to one axis all cross- sections should look the same. You should integrate on this axis: formulate cross-sectional area as a function of the variable of integration, (test problem) the base of a certain solid is bounded between the graphs of x = 3y3+4y2 and x = 2y2, Cross-secctions perpendicular to the y axis are semi circles with diameters along the base. Find the volume of the solid: identify bounds, integrate, find the volume of the solid whose base is the region bounded by the semicircle y = 2 , y = 0, x = 0, and x = 1. X: use the disk method to nd the volume of the solid generated when the region bounded by y = e x, y = 0, x = 0, and x = ln(4) is rotated around the x axis.