Integrale di Gauss: differenze tra le versioni

:<math>-\alpha x^2 + \beta x = -\left(\sqrt{\alpha}x - \frac{\beta}{2\sqrt{\alpha}}\right)^2 + \frac{\beta^2}{4\alpha}.</math>

 

 

:<math>I = \int_{-\infty}^{+\infty} e^{\frac{\beta^2}{4\alpha} - (\sqrt{\alpha}x - \frac{\beta}{2\sqrt{\alpha}})^2} dx.</math>