MathCastle
Multivariable CalculusSuperchallengeChange of Variables & the Jacobian

Change of Variables & the Jacobian · Superchallenge problem

Evaluate ∭R3e−(x2+y2+z2+xy+yz+zx) dV\displaystyle\iiint_{\mathbb{R}^3} e^{-(x^2 + y^2 + z^2 + xy + yz + zx)}\,dV.