Question

sketch the region r bounded by the graphs of the given equations, express it as an iterated intergral by a. dydx, and then b. dxdy
y=x^3
x=2
y=0

Answer 1

pretty sure the region looks like this:

and i know that setting up the integral will be:\[\int\limits_{0}^{2}\int\limits_{0}^{x^3} dA dydx\]
but i'm not sure what dA is :(