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x^2/4 + y^2/4<=1 That's a circle, not an ellipse

o oops it's supposed to be y^2/9

are you trying to work ou the area of the plate?

so how do i apply G(x,y)=sin^5(xy^2) ?

Swap the last dxdy for dydx

I think that's OK, what do you think about the x-bounds?

i think this is correct. thank you!