5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 16:1

294 STEP 4. Review the Knowledge You Need to Score High

y

x

f(x)

0

k

ab

y = k

h 0

g(y)

y

x

x = h

d

c

Figure 13.4-6

Example 1

Find the volume of the solid generated by revolving about thex-axis the region bounded by

the graph off(x)=

√

x−1, thex-axis, and the linex=5.

Step 1: Draw a sketch. (See Figure 13.4-7.)

y

x

y = x – 1

0 15

Figure 13.4-7