e continue derivations of the previous section for the area of integration
.
We introduce the following convenience
notation:
If
and
then
.
We calculate for
,
:
Let
then
There are six possibilities of how two intervals might locate relatively to
each
other:
We consider each possibility and express it in terms of at most two-sided
inequality for
:
We now express the value of
for each of these six
cases:
for some numbers
,
.
We arrive to the following recursive
representation:
The recursion ends with
:
where one of the numbers
,
may be
.
It remains to calculate the numbers
.
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