Recent content by petru
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Graduate Definite integral of exp and error function
Hi JJacquelin! Your post helped me with showing that the constant of integration C=0 in a more general formula: \int_{-\infty}^{\infty}\exp\left(-b^{2}(x-c)^{2}\right)\mathrm{erf}\left(a\left(x-d\right)\right)\,\mathrm{d}x=\frac{\sqrt{\pi}}{b}... -
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Graduate Definite integral of exp and error function
Ok, I guess I know what you mean. Thanks again! -
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Graduate Definite integral of exp and error function
Thanks mathman for your reply. I guess I'm not able to deal with this integral. I have a question though. I'm not a mathematician nor a math student so I was wondering if anyone could explain to me why the integral \int_{-\infty}^{\infty}\exp\left(-y^{2}\right)... -
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Graduate Definite integral of exp and error function
Hi, I've been trying to evaluate the following integral \int_{z}^{\infty}\exp\left(-y^{2}\right)\mathrm{erf}\left(b\left(y-c\right)\right)\,\mathrm{d}y or equivalently \int_{z}^{\infty}\exp\left(-y^{2}\right)\mathrm{erfc}\left(b\left(y-c\right)\right)\,\mathrm{d}y... -
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Graduate A difficult integral with exp and erf squared
dextercioby Thanks for your reply! I spent a lot of time trying to find closed form of that integral, so even if it can’t be done, I would like to learn smoething out of it and thus I have another question. The last integral in my first post... -
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Graduate A difficult integral with exp and erf squared
Hello, I have big difficulties solving the following integral: \int_{-\infty}^{\infty}x\exp\left(-b^{2}\left(x-c\right)^{2}\right)\mathrm{erf}^{2}\left(a\left(x-d\right)\right)\,\mathrm{d}x I tried integration by parts, and also tried to apply the technique called “differentiation under the...