I must integrate: $$ \int \int_D x^2y^2 dx dy$$ in the first quadrant.
This is a triangle with vertices in $(0,0)$, $(0,1)$ and $(1,0)$.
I tried to draw it in mathematica with implicit region:
R = ImplicitRegion[{x + y <= 1}, {x, y}];
Plot[R, {x, 0, 1}, {y, 0, 1}]
This is wrong and in addition I want to highlight that it is in the first quadrant (highlight $x$ and $y$ axis.
Can someone please help me with that?