- #1
Avatrin
- 245
- 6
∫∫[itex]_{A}[/itex]xy[itex]^{2}[/itex]dxdy
A is the area between y = x^2, y = 2-x and x[itex]\geq[/itex]0.
I am told that this is a type II double integral and I thus have to:
∫[itex]^{1}_{0}[/itex]∫[itex]^{2-y}_{√y}[/itex]xy[itex]^{2}[/itex]dxdy
But, why can't I do this?
∫[itex]^{2}_{0}[/itex]∫[itex]^{2-x}_{x^2}[/itex]xy[itex]^{2}[/itex]dydx
A is the area between y = x^2, y = 2-x and x[itex]\geq[/itex]0.
I am told that this is a type II double integral and I thus have to:
∫[itex]^{1}_{0}[/itex]∫[itex]^{2-y}_{√y}[/itex]xy[itex]^{2}[/itex]dxdy
But, why can't I do this?
∫[itex]^{2}_{0}[/itex]∫[itex]^{2-x}_{x^2}[/itex]xy[itex]^{2}[/itex]dydx