(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Well iv been looking around for a similar problem and found the use of the following equation. what I would like to know is if the following equation is actually correct? I believe it may be a extension of the Fubini's theorem but cant find a reference or derivation on the net. any help would be great thanks

I=∫_{0}^{∞}e^{-x2}

Show I=sqrt(pi/4) by first evaluating I^2

2. Relevant equations

[∫f(x) dx]^2 = ∫∫f(x)f(y) dxdy ?

link- https://www.physicsforums.com/showthread.php?t=243670

3. The attempt at a solution

I^{2}=∫∫e^{-2x2}dxdy?

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# Homework Help: Squaring an Integral ?

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