Let’s do one more example.
Example 3: Suppose we have the function F(x) = t^2 dt. Let’s evaluate this as x increases from 0 to 4.
First, let’s find F(1). Graphically, we are looking for the area under the curve y = t^2 from t = 0 to t = 1. It
looks like the following:
If we evaluate the integral, we get F(1) = t^2 dt = .
As in the previous example, let’s make a table of values of the accumulation function for different values
of x.