Question

answer this question​

Answer 1

Step-by-step explanation:

We have,

$\int \limits^{3}_{2} \int \limits^{2}_{1} \frac{dxdy}{xy}$

$= \int \limits^{3}_{2} (\int \limits^{2}_{1} \frac{dx}{x} ) \frac{dy}{y}$

$= \int \limits^{3}_{2} ([ ln(x) ] ^{2}_{1} ) \frac{dy}{y}$

$= \int \limits^{3}_{2} ln(2) \frac{dy}{y}$

$= ln(2) \int \limits^{3}_{2} \frac{dy}{y}$

$= ln(2) [ ln(y) ] ^{3}_{2}$

$= ln(2) ( ln(3) - ln(2) )$