9. A Gaussian distribution is given by p(x) = Ce-Ax-a)*. Calculate the following integrals. In these problems you can look up integral tables located on the back cover of our class textbook or elsewhere, or use a webserver such as Wolfram alpha. a) l, = S e-2(x-a)³dx b) l = xe-A(x-a)*dx c)Iz = [x²e¬a(x-a}*dx -8- -08-
9. A Gaussian distribution is given by p(x) = Ce-Ax-a)*. Calculate the following integrals. In these problems you can look up integral tables located on the back cover of our class textbook or elsewhere, or use a webserver such as Wolfram alpha. a) l, = S e-2(x-a)³dx b) l = xe-A(x-a)*dx c)Iz = [x²e¬a(x-a}*dx -8- -08-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:9. A Gaussian distribution is given by p(x) = Ce-a(x-a)². Calculate the following integrals. In these
problems you can look up integral tables located on the back cover of our class textbook or elsewhere, or use
a webserver such as Wolfram alpha.
a) I, = Lº e-a(x-a)² dx
b) I = S,x e-d(x-a)² dx c)lz = s° x² e¬a(x-a}² dx
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