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Thread: Gaussian*x^n Integration

  1. #1 Gaussian*x^n Integration 
    Forum Masters Degree Golkarian's Avatar
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    Is there any way to integrate, without a computer, a function of a Gaussian function times x^n, if not, is it possible to do a definite integral over infinity instead? Thanks.


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  3. #2  
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    If you are integrating over the whole real line, integration by parts will work and after n steps you will have the Gaussian integral.


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  4. #3  
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    So when I'm doing integration by parts, when I integrate dv, the Gaussian, just treat it as a definite integral?
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  5. #4  
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    Yes. If you have never done the Gaussian over the whole real line there is a trick. Square it and then convert to polar coordinates (center about the mean first). The angle will be uniform and the radius will have rdr as the differential.
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