# Divergent integrals.

1. Jun 23, 2007

### Klaus_Hoffmann

Are there any method to deal with divergent integrals in the form

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

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

2. Jun 23, 2007

### HallsofIvy

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

3. Jun 23, 2007

### JohnDuck

I've heard the term Ramanujan summation tossed about in regards to this, but I don't really know anything about it.