10.1 Improper Integrals
Exploring Improper Integrals
The applet below lets you explore what happens to the area trapped between f(x) and the x-axis from x=a to x=t. Namely, we are interested in what happens to that area when . To start with a=10, but you can drag the dot marking A along the x-axis to change that lower limit of integration. Observe what happens to the area under the curve when you let t get really large by dragging its slider dot for the upper limit of integration to the far right along the x-axis. Question 1: What happens to the area under when a=10 but ? Question 2: What happens to the area under when a=10 but ? Question 3: What happens to the area under when t=10 but ?