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Math Help - Numerical Analysis - Using Gaussian quadrature

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    Numerical Analysis - Using Gaussian quadrature

    Hello, I'm needing to use the Gaussian quadrature rule on this function, but am confused as how to even start it, or what equation to use. All of the examples I could find are from -1 to 1 and my problem is from 0 to 2. Any help is greatly appreciated.
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    Behold, the power of SARDINES!
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    Quote Originally Posted by Mahonroy View Post
    Hello, I'm needing to use the Gaussian quadrature rule on this function, but am confused as how to even start it, or what equation to use. All of the examples I could find are from -1 to 1 and my problem is from 0 to 2. Any help is greatly appreciated.
    This link may help

    Gaussian quadrature - Wikipedia, the free encyclopedia
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    MHF Contributor chisigma's Avatar
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    Quote Originally Posted by Mahonroy View Post
    Hello, I'm needing to use the Gaussian quadrature rule on this function, but am confused as how to even start it, or what equation to use. All of the examples I could find are from -1 to 1 and my problem is from 0 to 2. Any help is greatly appreciated.
    The change of variable x= 1+t tranform the integral as follows...

    \displaystyle \int_{0}^{2} e^{x^{2}}\ dx = \int_{-1}^{1} e^{(1+t)^{2}}\ dt (1)

    Kind regards

    \chi \sigma
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    This makes sense now, just shifting the graph up to line it up with the new interval, thanks!
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