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Double integral with rectangle transformation

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Hello!
I have to calculate where D = { (x,y): |x| + |y|<= 1} with the rectangle [-1,1] x [-1,1] transformation. I have a question: is D looks similarly like this rectangle and I just have to calculate

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Accepted Answer

Bjorn Gustavsson
Bjorn Gustavsson on 3 Dec 2020
No. Check things like this by simply doing things like this:
[x,y] = meshgrid(linspace(-2,2,401));
pcolor(x,y,abs(x)+abs(y)),shading flat,colorbar
hold on
contour(x,y,abs(x)+abs(y),[1 1],'k')
That way you will see what your region of integration looks like.
HTH

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