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

For what values of K is the following integral improper?

[tex]\int\stackrel{K}{0}x^2 / (x^2-19x+90) dx[/tex]

I'm stuck on this question. I understand mechanically, that the integration require partial fraction decomp, which results in -9ln(x-9) (from 0 to K) + 10ln(x-10) (from 0 to K). What I don't understand is what makes this integral improper. I understand that LN is undefined for all evaluations < 1. So does this mean that any K < 10 will create an improper integral?

EDIT: How does one properly display the upper and lower limits on the integration symbol?

**Physics Forums - The Fusion of Science and Community**

# Improper integral concept question

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Improper integral concept question

Loading...

**Physics Forums - The Fusion of Science and Community**