Answer
A $= 10(\ln(5))\approx 16.094$
Work Step by Step
Rearrange the function to be in terms of y.
$y = \frac{10}{x}$ to $x = \frac{10}{y}$
Integrate in terms of dy.
A $= \int_2^{10}\frac{10}{y}dy$
A $= 10[ln (y)]_2^{10}$
A $= 10(ln(10) - ln(2)) $
A $= 10(ln(5))$
A $\approx 16.094$
