Finding the Area Between Curves

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Presentation transcript:

Finding the Area Between Curves

Objective To be able to find the area between curves using a definite integral.

How could I find the area between these curves? Well I know a definite integral can find the area between a curve and the x-axis.

How could I find the area between these curves? So I could find the area under the upper and subtract the area under the lower.

Finding the area between two curves. Find the x-values where the curves intersect. These will be your bounds. Take the definite integral of the upper minus the lower function. Where f(x) is above g(x) and b > a

Find the area between Now evaluate the integral of the difference to find the area First find the intersections of the two, where f(x) = g(x)