Divergent integral
From Encyclopedia of Mathematics
A concept opposite to that of a convergent integral (see also Singular integral). For example, if a function 
is defined on a bounded or unbounded interval 
, 
, if for each 
it is integrable on 
and if there is no finite limit
 |
then one says that the integral 
diverges. In the case that
 |
one says that the divergent integral 
is equal to 
or 
, respectively.
How to Cite This Entry:
Divergent integral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Divergent_integral&oldid=17382
Divergent integral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Divergent_integral&oldid=17382
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article