Hi everyone,

I have been studying Lebesgue integration for few weeks now and I cannot understand its philosophy ...

I started to look at simple exercises to begin with, such as the following one :

Let f = [tex]\frac{a}{|x|^b}[/tex]. The question is "for what values of b is f locally summable (or integrable) ?"

I have plotted lots of different possibilities and I really cannot see why it is not integrable over the whole set of real numbers.

What am I missing ?

Thanks in advance for any help you can provide.

Peter