<prompt> Tathminiiint_mathcalA e-x2-y2 d x d y,ambapo mathcalAleftx, y katika mathbbR2 mid x2y2 leqslant 1right.  <response>: Kutumia kuratibu za polar, tunayoanzailiyopangwaiint_mathcalA e-x2-y2 d x d y int_02 pi int_01 rho e-rho2 d rho d theta n-frac12 int_02 pi int_01 -2 rho e-rho2 d rho d theta n-frac12 int_02 pikushotoe -1-1kulia npikushotoe-1-1kulia .mwishoiliyopangwa 