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Integral of Exponential with Polynomial Argument

  1. Jul 4, 2015 #1
    How can I find an Integral of an exponential with Polynomial argument with finite limits:

    [itex]

    \int_0^\pi \exp^{-a x^2 -b x^4} dx \\

    \int_0^\pi \exp^{-a x^2 -b x^4} (x - x^3)dx

    [/itex]
     
  2. jcsd
  3. Jul 4, 2015 #2
    Wolfram Alpha.
     
  4. Jul 4, 2015 #3
    Doesn't evaluate the first one.
     
  5. Jul 4, 2015 #4
    There likely is no closed form solution for the top one in terms of a and b. Put in numbers for a and b and there are a lot of tools that will integrate it numerically, including Wolfram Alpha.
     
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