Example 6.  Let  [Graphics:Images/GaussianQuadMod_gr_276.gif]  over  [Graphics:Images/GaussianQuadMod_gr_277.gif].  Use Gauss-Legendre quadrature to approximate the value of the integral.  

Solution 6.

[Graphics:../Images/GaussianQuadMod_gr_278.gif]


[Graphics:../Images/GaussianQuadMod_gr_279.gif]

[Graphics:../Images/GaussianQuadMod_gr_280.gif]

[Graphics:../Images/GaussianQuadMod_gr_281.gif]

[Graphics:../Images/GaussianQuadMod_gr_282.gif]

[Graphics:../Images/GaussianQuadMod_gr_283.gif]

[Graphics:../Images/GaussianQuadMod_gr_284.gif]

[Graphics:../Images/GaussianQuadMod_gr_285.gif]

[Graphics:../Images/GaussianQuadMod_gr_286.gif]

Animation 1.  ( Gauss-Legendre Quadrature  Gauss-Legendre Quadrature ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004