# Comparison Test: Am I using a good comparison function?

## Homework Statement

Does the following interval diverge?
$\int^9_1 \frac{-4}{\sqrt[3]{x-9}}$

## The Attempt at a Solution

Well.. I've used the following function that I think is always less than the above function to prove that the function above DOES NOT diverge (by showing that the function below converges). I'm just wondering if this is an appropriate way of telling that the function above does not diverge...

$\int^9_1 \frac{-4}{x-9}$