I'm really confused by this one, it tells us that the area in question is between $f(x)$ and $g(x)$, and the x-axis. Now, I'm not at all certain about determining integration limits. From what I understood, you determine when $f(x)=0$ and $g(x)=0$.
If that is the case, I figured $f(x)=0$ at $ln(6)$ and $g(x)=0$ at $ln(1)$. Now, I have no idea what to do with that information. Should the interval be between $ln(1)$ and $ln(6)$? Tips are much appreciated, would really like to understand these.
HINT
The area enclosed should be
$$-\int_{0}^a f(x) dx -\int_{a}^b g(x) dx $$
with $a$ to be found such that $f(a)=g(a)$ and $b$ such that $f(b)=0$.