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}...
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)...
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...
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...
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...