Find the area under the curve using intergral

∞
∫ e^(-x²/2)
-∞

Pleaseee show work :) thank you

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http://www.wolframalpha.com/input/?i=integrate+e^%28-x%C2%B2%2F2%29

This function f(x) = e^(-x^2) has no closed-form antiderivative, and is symmetric to the y-axis. The area should be 2 ∫ {0, ∞} e^(-x^2) dx.

int(exp(-(1/2)*x^2), x = -infinity .. infinity) = sqrt(2)*sqrt(π) = 2.506631204