Page 241 - Calculus Workbook For Dummies

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Chapter 12: Who Needs Freud? Using the Integral to Solve Your Problems

*7. Use the meat slicer method to derive the 8. Use the washer method to find the volume
formula for the volume of a pyramid with of the solid that results when the area
a square base (see the following figure). enclosed by f x = x and g x = x is
^ h
^ h
Integrate from 0 to h along the positive side revolved around the x-axis.
of the upside-down y-axis. (I set the prob-
lem up this way because it simplifies it. Solve It
You can draw the y-axis the regular way if
you like, but then you get an upside-down
pyramid.)
y −

(0, 0)
x

(0, y)

h

l

(0, h)
s

y +

Solve It