High School Calculus/Area Between Two Curves

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Area Between Two Curves[edit | edit source]

The area between two curves can be more easily states as the area between two graphs.

In order to do this you must take the antiderivative of the two functions.

This is denoted by have a capital letter such as

Let's take the graphs and

Let us also take the area between 2 and 4 as denoted by


Now evaluate the antiderivatives from 2 to 4

Now we will evaluate the antiderivative G(x)

Now we take F(x)-G(x) to find the area between the two curves

Therefore, between and is