- #1
Poop-Loops
- 732
- 1
Ok, so it's been a while since I've had to integrate anything, much less something like this.
[tex]\int \frac{1}{n(1 + \ln{n})^{2/3}} dn[/tex]
I'm thinking u substition for ln(n) and then du becomes 1/n? But, since the ln(n) is in the denominator of a fraction raised to a power, wouldn't that mess with du? Or am I on the right track? I checked my calculus book and surfed the web, and couldn't find an integral for ln, so I can't see any other way...
If it helps, this is for a series check by integration to see if it's convergant or divergant, so it goes from nothing to infinity.
[tex]\int \frac{1}{n(1 + \ln{n})^{2/3}} dn[/tex]
I'm thinking u substition for ln(n) and then du becomes 1/n? But, since the ln(n) is in the denominator of a fraction raised to a power, wouldn't that mess with du? Or am I on the right track? I checked my calculus book and surfed the web, and couldn't find an integral for ln, so I can't see any other way...
If it helps, this is for a series check by integration to see if it's convergant or divergant, so it goes from nothing to infinity.