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## Homework Statement

Evaluate the following improper integrals of explain why they don't converge.

Integral from 0 to infinity(1/the cubed root of x)dx

I'm not sure how to make forulas, so this is the best I can do:

0∫∞ (1/(3∙√x))dx

## Homework Equations

No equations

## The Attempt at a Solution

I know that when there is ∞ as an upper bound, the intergration is changed to:

lim as b→∞ 0∫b (1/(3∙√x))dx

But in this form, the 0 is a problem.

and if the lower bound, 0, causes the function to be undefined, the integration is changed to:

lim as a→0+ a∫∞ (1/(3∙√x))dx

But, in this for the infinity is still a problem.

Is there any way to combine the two so I can solve this.

Any help is appreciated.