Convergence of Improper Integrals of Power Functions
- Author:
- Ewan Kummel
- Topic:
- Functions, Power Functions
This applet demonstrates the convergence of improper integrals of power functions.
Move the point A to adjust the "proper" bound of the two integrals.
When p=1, neither integral converges.
When p<1, the left integral exists and the right one does not.
When p>1, the right integral exists and the left one does not.
(Note that Geogbra does not (yet) support improper integrals.
So the depicted areas under the curve are approximations.)