Question: Prove that (, ) e^(x^2) dx = by doing the following steps: (a) Start by considering ((-, ) e^(x^2) dx)^2 and writing the second copy

Prove that (, ) e^(x^2) dx = by doing the following steps: (a) Start by considering ((-, ) e^(x^2) dx)^2 and writing the second copy of the integral in terms of a different variable (namely y.) (b) Combine the expression into a single double integral. (c) Change into a suitable set of coordinates. (d) Finish the computation.

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