I have a plane $z=f$ as a function of $x$ and $y$. I would like to calculate the volume under the plane. I think I should express it as a double integral. With a "regular" integral I would find the indefinite integral first and then plug in limits: $F(a)-F(b)$. However I am unsure as to how this works with double integrals. Given the limits below, how do you express the volume with the antiderivative?
$$\int^b_a\int^d_c f(x,y)dxdy $$
Thankful for any help!