Infinite graph with finite area?

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The discussion centers on whether a function's graph can extend infinitely while having a finite area under the curve. Participants agree that such functions exist, citing examples like the error function and exponential decay functions. They explore the concept of convergence in integrals, emphasizing the need for functions to approach zero rapidly. The conversation also touches on the evaluation of integrals at infinity, with references to Fubini's theorem and the Cauchy principal value. Overall, the thread highlights the mathematical principles that allow for finite areas under infinite graphs.
  • #31
Nope, it's not.
 
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  • #32
The reals are composed of numbers, infinity is not a number but rather a concept
 

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