# 10.1 Improper Integrals

## Exploring Improper Integrals

The applet below lets you explore what happens to the area trapped between . 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 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 ?

*f(x)*and the x-axis from*x=a*to*x=t*. Namely, we are interested in what happens to that area when*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