Double integral with rectangle transformation

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

Answer 1

[Bjorn Gustavsson]

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