∫∫[itex]_{A}[/itex]xy[itex]^{2}[/itex]dxdy(adsbygoogle = window.adsbygoogle || []).push({});

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 cant I do this?

∫[itex]^{2}_{0}[/itex]∫[itex]^{2-x}_{x^2}[/itex]xy[itex]^{2}[/itex]dydx

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# Why is this a type II double integral?

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