Haberman 10.4 - Using the Fourier transform to solve PDEs on infinite domains

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Hi Wesley,
Thank you for your informational video. For the temperature distribution u(x, t) = 50+100/sqrt(pi) int(0 to x/sqrt(4kt) e^-u^2 du. How would you further evaluate the second term because there is still e^-u^2. Would you have to be given an error function to further simplify this?

shahzabshah