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?

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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 ...

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e) f)