Question: The Two-Point Gaussian Quadrature Approximation for is (a) Use this formula to approximate Find the error of the approximation. (b) Use this formula to

The Two-Point Gaussian Quadrature Approximation for ƒ is

[1(x) dx = 1 (- + 3) + 1 (1/3) f f

(a) Use this formula to approximate

3/

Find the error of the approximation.

(b) Use this formula to approximate

(c) Prove that the Two-Point Gaussian Quadrature Approximation is exact for all polynomials of degree 3 or less.

[1(x) dx = 1 (- + 3) + 1 (1/3) f f 3/

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