I want help with calculating a double integral in Mathematica.

I have a question that I would like to have an answer to. I write the the expression like this in WolframAlpha : int e^-(x^2+y^2)sin(x^2+y^2) dx dy, x=-oo to oo, y=-oo to oo, but I would like to know how I write this in Mathematica, I did try many ways and looked for the help section in mathematica but could not find anything.

Hi, I have tried and this is what I got,

Integrate[Exp[-(x^2 + y^2)] Sin[x^2 + y^2], {x, -Infinity, Infinity}, {y, -Infinity, Infinity}]

This gives me pi/2.

See the attached file.

sincerely, Suvadip.