Comparison Test: Am I using a good comparison function?

  • Thread starter theRukus
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  • #1
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Homework Statement


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


Homework Equations





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...

[itex]\int^9_1 \frac{-4}{x-9}[/itex]
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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You don't need a comparison test. You can integrate that function. Just treat it as an improper integral. Integrate from 1 to M and let M approach 9.
 

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