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\int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}

import math
def gaussian(x, mu=0.0, sigma=1.0):
    return math.exp(-((x - mu) ** 2) / (2 * sigma ** 2))

GRAPH

f(x) = e^{-(x-\mu)^2/2\sigma^2}

AI-generated · interactive

Mean

\mu

0.00

Std. dev

\sigma

1.00

Peak at

x = 0.00

\mathrm{FWHM}

2.35

\int f(x)\,dx

2.51

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