F(1) is just the area of the triangle A = (1)(1) = . If we evaluate the integral, we get F(1) = dt =
= − 0 = . Let’s now find F(2). This is the area under the curve y = t from t = 0 to t = 2.It looks like the following:
F(2) is just the area of the triangle: A = (2)(2) = 2. If we evaluate the integral, we get F(2) = t dt =
= 2 − 0 = 2.
We can see that, as x increases, the function increases.
This was a fairly simple example. Let’s do another one.