- #1

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## Homework Statement

Integral from 1 to infinity of 1 / xln(third root of x)

2. Homework Equations

n/a

3. The Attempt at a Solution

I tried to find if it diverged and then got lost after that

- Thread starter poopforfood
- Start date

- #1

- 13

- 0

Integral from 1 to infinity of 1 / xln(third root of x)

2. Homework Equations

n/a

3. The Attempt at a Solution

I tried to find if it diverged and then got lost after that

- #2

- 492

- 1

- #3

- 13

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well you see there bob im not too sure how to get started and what to do with the ln

- #4

Dick

Science Advisor

Homework Helper

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If you don't know what to do, then you don't know it diverges, right? Try a substitution u=ln(x).

- #5

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so int from 1 to 0 ln(third root of u)du

= - in from 0 to 1 ln(third root of u)du

I always mix up these substitutions.

- #6

Gib Z

Homework Helper

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Note: [tex]\log_a b^x = x \log_a b[/tex] where a, b and x are real numbers, (a,b) > 0.

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