Example 4.   Let  [Graphics:Images/RiemannSumMod_gr_68.gif]  over  [Graphics:Images/RiemannSumMod_gr_69.gif].  Use the trapezoidal rule with  n = 25, 50, and 100  to approximate the value of the integral.

Solution 4.

[Graphics:../Images/RiemannSumMod_gr_70.gif]

[Graphics:../Images/RiemannSumMod_gr_71.gif]

[Graphics:../Images/RiemannSumMod_gr_72.gif]
[Graphics:../Images/RiemannSumMod_gr_73.gif]
[Graphics:../Images/RiemannSumMod_gr_74.gif]



[Graphics:../Images/RiemannSumMod_gr_75.gif]

[Graphics:../Images/RiemannSumMod_gr_76.gif]

[Graphics:../Images/RiemannSumMod_gr_77.gif]
[Graphics:../Images/RiemannSumMod_gr_78.gif]
[Graphics:../Images/RiemannSumMod_gr_79.gif]



[Graphics:../Images/RiemannSumMod_gr_80.gif]

[Graphics:../Images/RiemannSumMod_gr_81.gif]

[Graphics:../Images/RiemannSumMod_gr_82.gif]
[Graphics:../Images/RiemannSumMod_gr_83.gif]
[Graphics:../Images/RiemannSumMod_gr_84.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004