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The Area Between Curves
and Pre-Test Workshop
Black Curves by flickr user 一朗
Find the total area enclosed between the graph of ƒ(x) and the x-axis.
>:'(
=
This isn't really what we're looking for.
This will give us the "integral" of ƒ for -2 ≤ x ≤ 2.
We're looking for area.
Area =
What goes here? Why?
—
Another way of doing this would be:
How would we do this on a calculator?
What about finding the area between two curves, such as ƒ and g below?
Is this the right thing to do?
What goes here?
How do we figure that out?
—
What goes here? Why?
Or we could just do this ...
What about finding the area between two curves, such as ƒ and g below?
Is this the right thing to do?
What goes here?
How do we figure that out?
—
What goes here? Why?
Or we could just do this ...
TOP - BOTTOM
e) f)
AP Calculus January 16, 2009
AP Calculus January 16, 2009
AP Calculus January 16, 2009
AP Calculus January 16, 2009
AP Calculus January 16, 2009
AP Calculus January 16, 2009
AP Calculus January 16, 2009

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AP Calculus January 16, 2009

  • 1. The Area Between Curves and Pre-Test Workshop Black Curves by flickr user 一朗
  • 2. Find the total area enclosed between the graph of ƒ(x) and the x-axis. >:'(
  • 3.
  • 4. = This isn't really what we're looking for. This will give us the "integral" of ƒ for -2 ≤ x ≤ 2. We're looking for area. Area = What goes here? Why? — Another way of doing this would be: How would we do this on a calculator?
  • 5. What about finding the area between two curves, such as ƒ and g below? Is this the right thing to do? What goes here? How do we figure that out? — What goes here? Why? Or we could just do this ...
  • 6.
  • 7.
  • 8. What about finding the area between two curves, such as ƒ and g below? Is this the right thing to do? What goes here? How do we figure that out? — What goes here? Why? Or we could just do this ... TOP - BOTTOM
  • 9.
  • 10.
  • 11.
  • 12. e) f)