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Divergent integrals.

  1. Jun 23, 2007 #1
    Are there any method to deal with divergent integrals in the form

    [tex] \int_{0}^{\infty}dx \frac{x^{3}}{x+1} [/tex] [tex] \int_{0}^{\infty}dx \frac{x}{(x+1)^{1/2}} [/tex] ?

    in the same sense there are methods to give finite results to divergent series as 1+2+3+4+5+6+7+.......... or 1-4+9-16+25 or similar
     
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  3. Jun 23, 2007 #2

    HallsofIvy

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    WHAT methods give finite results to 1+2+3+4+5+6+7+.......... and 1-4+9-16+25 ???
     
  4. Jun 23, 2007 #3
    I've heard the term Ramanujan summation tossed about in regards to this, but I don't really know anything about it.
     
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