mws_com_int_txt_gaussquadrature_examples

mws_com_int_txt_gaussquadrature_examples - 07.06 Gauss...

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07.06.1 07.06 Gauss Quadrature Rule for Integration-More Examples Computer Engineering Example 1 Human vision has the remarkable ability to infer 3D shapes from 2D images. The intriguing question is: can we replicate some of these abilities on a computer? Yes, it can be done and to do this, integration of vector fields is required. The following integral needs to integrated. 100 0 ) ( dx x f I Where,  200 172 , 0 172 30 , 6778 9 10 8487 2 10 7961 2 10 1688 9 30 0 0 1 2 3 3 6 x x . x . x . x . x , x f Use two-point Gauss Quadrature Rule to find the value of the integral. Also, find the absolute relative true error. Solution First, change the limits of integration from   100 , 0 to   1 , 1 using 1 1 2 2 2 ) ( dx a b x a b f a b dx x f b a gives 1 1 100 0 2 0 100 2 0 100 2 0 100 ) ( dx x f dx
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mws_com_int_txt_gaussquadrature_examples - 07.06 Gauss...

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