# Thread: Prove x^2 is integrable

1. ## Prove x^2 is integrable

Here is the question I'm working on:

Prove directly from the definition of integrability that $x^2$ is integrable on any $[a,b] \subset [0,\infty).$

I have just begun integrability, and am not so familiar with using the definition. I've set up the preliminaries, but do not know how to proceed. Any advice?

~Thanks.

2. Originally Posted by Anonymous1
Here is the question I'm working on:

Prove directly from the definition of integrability that $x^2$ is integrable on any $[a,b] \subset [0,\infty).$

I have just begun integrability, and am not so familiar with using the definition. I've set up the preliminaries, but do not know how to proceed. Any advice?

~Thanks.