Divergent integrals.

  • #1

Main Question or Discussion Point

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
 

Answers and Replies

  • #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 ???
 
  • #3
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WHAT methods give finite results to 1+2+3+4+5+6+7+.......... and 1-4+9-16+25 ???
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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