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Post Closed as "Needs details or clarity" by Will Jagy, Stefan Kohl, coudy, Gerald Edgar, Jeremy Rouse

Is there any analytical result on the following integral? $$\int_{-\infty}^{\infty} e^{-x^2}/(1+e^{-(x-\mu)})dx$$$$\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+e^{-(x-\mu)}}dx$$ Thanks a lot!

Is there any analytical result on the following integral? $$\int_{-\infty}^{\infty} e^{-x^2}/(1+e^{-(x-\mu)})dx$$ Thanks a lot!

Is there any analytical result on the following integral? $$\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+e^{-(x-\mu)}}dx$$ Thanks a lot!

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Brendan McKay
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Is there any analytical result on the following integral? \int_{-Inf}^{Inf} e^{-x^2}/(1+e^{-(x-mu)})dx$$\int_{-\infty}^{\infty} e^{-x^2}/(1+e^{-(x-\mu)})dx$$ Thanks a lot!

Is there any analytical result on the following integral? \int_{-Inf}^{Inf} e^{-x^2}/(1+e^{-(x-mu)})dx Thanks a lot!

Is there any analytical result on the following integral? $$\int_{-\infty}^{\infty} e^{-x^2}/(1+e^{-(x-\mu)})dx$$ Thanks a lot!

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hyhu
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A difficult integral

Is there any analytical result on the following integral? \int_{-Inf}^{Inf} e^{-x^2}/(1+e^{-(x-mu)})dx Thanks a lot!