1. The problem statement, all variables and given/known data 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 2. Relevant equations No equations 3. 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.