Set up a double integral in rectangular coordinates for calculating the volume of the solid under the graph of the function $f(x,y) = xy$ over the triangular region $x + 2 y \leq 4, x \geq 0,$ and $y \geq 0$.

Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy in each box. Then, enter the limits of integration and evaluate the integral to find the volume.

$\displaystyle \int_A^B \int_C^D$

A =
B =
C =
D =

Volume =