Find the double integral that will calculate the volume of the solid $f(x,y) = (x^2)+4y^3$ in the region created by the points $(0,0),(1,0),(0,2).$
This is what I got but I dont know if my interpretation is correct: $$\int_0^1\int_0^{2-2x}(x^2+4y^3)\,\mathrm dy\,\mathrm dx.$$