MathCastle
Multivariable CalculusSuperchallengeDouble Integrals

Double Integrals · Superchallenge problem

Evaluate ∫0∞ ⁣∫0∞e−(x2+xy+y2) dy dx\displaystyle\int_0^{\infty}\!\int_0^{\infty} e^{-(x^2 + xy + y^2)}\,dy\,dx. Give an exact answer.