. A commonly used type of numerical integration algorithm is called Gaussian quadrature. For an integral on the interval [-1,1], a simple Gaussian quadrature approximation is ∫-1^1 f(x) d x ≈f((-1)/(√(5))) f((1)/(√(5))). Show that, like Simpson's Rule, this Gaussian quadrature gives the exact value of the integrals of the power functions x, x^2 and x^3. | Numerade
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