MAT 1322 Study Guide - Final Guide: Horse Length, Binomial Series, Directional Derivative

Let R be the region bounded by the curves y = x2 + 1, x = 0, and y = 2x.

1) Find the volume of the solid obtained by revolving R about the y-axis.

2) Find the volume of the solid obtained by revolving R about the line x = 1.

R is bounded by y= cosx and y=0 and x=3pi/2 and x=5pi/2 find the integral that gives the volume of a solid obtained by revolving the region R about the line y=-3