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:
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.