Evaluate \(\int_0^2\int_0^3 1\,dy\,dx\).

Evaluate \(\int_0^1\int_0^2 x\,dy\,dx\).

Evaluate \(\int_0^1\int_0^x y\,dy\,dx\).

Set up, but do not evaluate, a double integral for the area of the region \(0\le y\le x\le 1\).

Reverse the order of integration for \(\int_0^1\int_0^x f(x,y)\,dy\,dx\).

Evaluate \(\int_0^1\int_0^1 (x+y)\,dy\,dx\).

Use a double integral to find the area inside the circle \(x^2+y^2\le 4\).

Evaluate \(\int_0^2\int_0^{4-y} 1\,dx\,dy\).

Evaluate \(\int_0^1\int_0^1 xy\,dx\,dy\).

Set up a double integral in polar coordinates for \(\iint_R (x^2+y^2)\,dA\), where \(R\) is the disk \(x^2+y^2\le 9\).