(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether each integral is convergent or divergent, if convergent find its value.

a)[tex] \int^2_1 \frac{dx}{x \ ln \ x}[/tex]

b)[tex] \int^3_0 (\frac{1}{\sqrt{x}})e^{-\sqrt{x}}\ dx[/tex]

3. The attempt at a solution

Hey Folks, I'm still at it. Both of these integrals have discontinuities at the left endpoint. I've completed the integration and applied the appropriate equation. However, I'm not sure how to interpret the results.

In this one ln(ln(1)) does not exist. Does that mean I should stop there and declare the inetgral divergent?

http://mcp-server.com/~lush/shillmud/int2.9a.JPG

There are no terms here that cannot be calculated but again I am getting a negative answer. Does this signify divergence? Thank you for clearing this up!

http://mcp-server.com/~lush/shillmud/int2.9b.JPG

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Determining Convergence/Divergence

**Physics Forums | Science Articles, Homework Help, Discussion**