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(Solved): A). Prove that \int_(-\infty )^(\infty ) \int_(-\infty )^(\infty ) e^(-x^(2)-y^(2))dxdy=\int_(-b)^b ...
A). Prove that
\int_(-\infty )^(\infty ) \int_(-\infty )^(\infty ) e^(-x^(2)-y^(2))dxdy=\int_(-b)^b \int_(-b)^b e^(-x^(2)-y^(2))dxdy=4(\int_0^(\infty ) e^(-x^(2))dx)^(2). [Verify using Mathematica]
