Answer
$6\ln 3$
Work Step by Step
$A=\displaystyle \int_{a}^{b}f(x)dx$
$A=\displaystyle \int_{1}^{3}\frac{6}{x}dx=6\int_{1}^{3}\frac{1}{x}dx$
$=6\left[\ln|x|\right]_{1}^{3}$
$=6[\ln 3-\ln 1]$
$=6\ln 3$
Verified with online calculator (desmos.com):
