Example 3. Find the analytic value of the integral (i.e. find the "true value").
Solution 3.
The integral of can be determined.
The value of the definite integral
(c) John H. Mathews 2004
![[Graphics:Images/SimpsonRuleMod_gr_95.gif]](../Images/SimpsonRuleMod_gr_95.gif){kind=small}
(i.e.
find the "true value"). (i.e.
find the "true value"). ![[Graphics:../Images/SimpsonRuleMod_gr_96.gif]](../Images/SimpsonRuleMod_gr_96.gif){kind=small}
can
be determined.![[Graphics:../Images/SimpsonRuleMod_gr_97.gif]](../Images/SimpsonRuleMod_gr_97.gif){kind=small}
![[Graphics:../Images/SimpsonRuleMod_gr_98.gif]](../Images/SimpsonRuleMod_gr_98.gif){kind=small}
![[Graphics:../Images/SimpsonRuleMod_gr_99.gif]](../Images/SimpsonRuleMod_gr_99.gif){kind=small}
![[Graphics:../Images/SimpsonRuleMod_gr_100.gif]](../Images/SimpsonRuleMod_gr_100.gif){kind=small}
![[Graphics:../Images/SimpsonRuleMod_gr_101.gif]](../Images/SimpsonRuleMod_gr_101.gif){kind=small}
![[Graphics:../Images/SimpsonRuleMod_gr_102.gif]](../Images/SimpsonRuleMod_gr_102.gif){kind=small}
![[Graphics:../Images/SimpsonRuleMod_gr_103.gif]](../Images/SimpsonRuleMod_gr_103.gif){kind=small}
![[Graphics:../Images/SimpsonRuleMod_gr_104.gif]](../Images/SimpsonRuleMod_gr_104.gif){kind=small}