Example
8.13.
,
but Equation (8-7) tells us that the
improper integral of
over
doesn't
exist, because the calculation
is
undefined .
Therefore we can use Equation (8-8) to
extend the notion of the value of an improper integral, as Definition
8.2 indicates.
![[Graphics:Images/IntegralsRationalMod_gr_11.gif]](../Images/IntegralsRationalMod_gr_11.gif)
Explore Solution 8.13.
Enter the function
and
investigate the Cauchy Principal Value .
![[Graphics:../Images/IntegralsRationalMod_gr_14.gif]](../Images/IntegralsRationalMod_gr_14.gif)
![[Graphics:../Images/IntegralsRationalMod_gr_15.gif]](../Images/IntegralsRationalMod_gr_15.gif)