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Problem with symbolic intergration

  1. Jul 29, 2008 #1

    I was wondering if anyone can help me. I've got a bit of a maths problem. I'm trying to convolve two functions together then integrating the resulting function between limits. I'm using the symbolic toolbox in Matlab and I keep getting an error. The equations I am using are show below:

    f1(x) = (x/mean)^0.5*exp(-(x+mean)/(2*sigma^2)).*besseli(1,sqrt(x.*mean)/sigma^2))/(2*sigma^2


    f2(x) = 1/(pi*sqrt(4*P_*XT - (x-XT)^2))

    Using int(f1(x)*f2(x)) function results in a:
    "Warning: Explicit integral could not be found."
    > In sym.int at 58

    I was wondering if there is something I can do to enable me to obtain a symbolic result, as I then need to take this result and integrate between two limits. I thought about performing this calculation numerically using quadl function, but this causes further problems with the integration/summation. What I can tell is the problem lies with performing the integration with the exp and Bessel function together in f1(x).

    I appreciate any help you guys and girls can give me.


  2. jcsd
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