The region |$y|>3|x|$ for $0<y<1$ forms a triangle.If pressure $p(x,y)=3x^2y+4$ acts on this what's the net force and moment (about $x$ axis)
I solved this by splitting the mod function and getting the equations as $y-3x$ and $y+3x$. Can the pressure be found by a double integral from $(-1/3,1)$ to $(1/3,1)$ and then subtracting the area of the smaller triangles?