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Multivariable CalculusEasyDouble Integrals

Double Integrals · Easy problem

Let DD be the disk x2+y2≤4x^2 + y^2 \le 4. Evaluate ∬De−(x2+y2) dA\displaystyle\iint_D e^{-(x^2 + y^2)}\,dA using polar coordinates. Give an exact answer.