Question: calculating area

Question:calculating area

djc 571 Maple


Is there a direct way to calculate the area of the following 2D region in Maple (analytically or numerically).
The borders of the  region: y=x, y=2*x, x*y=1, x*y=2 {x>0,y>0}
Is it possible to define such region for integration (symbolic or numeric) in Maple?
I can do this integration by hand using the u=x*y, v=x/y substitutions, and calculating Jacobi-determinant etc. These steps can be performed also in Maple, and  one can also use Monte Carlo integration for it ( I have done it in Maple making a short procedure for it) , but I don't know a direct way to do it.

Thanks for your help in advance.

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