Question

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+2y≤6,x≥0, and y≥0.

Answer 1

if you want to set up under the form int_ int_ dxdy you use my pic to set
x go from 0 to 6-2y
y go from 0 to 3
so yours is .... you do the leftover