# Thread: Integration of log & ln

1. ## Integration of log & ln

How do you integrate $log(x^3)$ or $ln(x^3)$? $ln(ax)$ and $log(ax)$ can be solved either by using a combination of u-sub, specific formulas, and integration by parts (only for ln). But not with $x^(n>1)$. So...?

2. Originally Posted by Kaitosan
How do you integrate $log(x^3)$ or $ln(x^3)$? $ln(ax)$ and $log(ax)$ can be solved either by using a combination of u-sub, specific formulas, and integration by parts (only for ln). But not with x^whatever. So...?
Recall that $\log\left(x^a\right)=a\log x$ (same for ln)...

3. $ln(x^3) = 3 \cdot ln(x)$

4. I can't believe I missed that. -_-