7.1 Area Between Two Curves - Washington-Liberty · 2017. 2. 7. · Area of Region Between 2 Curves. 4 Example 1: Now, use an integral to find the area between these two curves. 5

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7.1 Area Between Two Curves

Could we use rectangles to find the area between f(x) and g(x)?

What would the height of eachrectangle be?

How wide would the rectangles be?

How many rectangles?

Intro:

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If f and g are continuous on [a,b] and g(x) < f(x) for all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x = a and x = b is

Area of Region Between 2 Curves

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Example 1: Now, use an integral to find the area between these two curves.

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Example 2: Find the area between the two curves.Be careful with the limits of integration!

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Example 3: Find the area between the two curves.

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Example 4: Find the area bounded by the curve and the x-axis.

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What are the bounds of the region?

How is the integral set up?

Example 5: Find the area bounded by the curve and the y-axis.

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Example 6: Find the area bounded by:

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