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April 18, 2014

Homework Help: calculus

Posted by mathstudent on Monday, January 14, 2008 at 1:46pm.

Assuming that:

Definite Integral of e^(-x^2) dx over [0,infinity] = sqrt(pi)/2

Solve for

Definite Integral of e^(-ax^2) dx over [-infinity,infinity]

I don't know how to approach the new "a" term. I can't use u-substitution, integration by parts, partial fractions, or trig substitution. How do I do this?

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