http://www.ck12.org Chapter 5. Applications of Definite Integrals
Figure 10a
Figure 10b
Volumes by the Method of Washers(revolution about the x−axis)
V(x) =∫b
a π(
[f(x)]^2 −[g(x)]^2)
dx.Example 4:
Find the volume generated when the region between the graphsf(x) =x^2 +1 andg(x) =xover the interval[ 0 , 3 ]is
revolved about thex−axis.