- #1

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- TL;DR Summary
- Is it possible to assign a meaningful value to the integral (up to infinity) of oscillating divergent functions?

There are meaningful ways to assign values to things like

or

In a similar spirit, is it possible to assign a value to the integral of a function like this: ##f(x)=x*sin(x)##

or this one:

##g(x)=Re(x^{1+5i})##

(Integrals from some value, say zero, up to infinity)

**1 - 1 + 1 + ...**or

**1 - 2 + 3 - 4 + ...**In a similar spirit, is it possible to assign a value to the integral of a function like this: ##f(x)=x*sin(x)##

or this one:

##g(x)=Re(x^{1+5i})##

**
**(Integrals from some value, say zero, up to infinity)

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