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Question: How to find double integral?

Question:How to find double integral?

Markiyan Hirnyk 7759 Maple 2016
January 14 2017
1

How to find the double integral of sin(x^2)*cos(y^2) over the disk of radius R which is centered at the origin? 

Here is my try 

restart; evalf(VectorCalculus:-int(sin(x^2)*cos(y^2), [x, y] = Circle(`<,>`(0, 0), 1), inert), 15);
                       0.722091449378409
identify(%);
                       0.722091449378409

 
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