Question: 2. (a) Generate an approximation to integral of f(x)dx using a quadratic polynomial interpolant to f in lagrange form. Assume you have 3 equispaced points,

2. (a) Generate an approximation to integral of f(x)dx using a quadratic polynomial interpolant to f in lagrange form. Assume you have 3 equispaced points, including the end points a and b; that is, let x0 = a; x1 = (a + b)=2 and x2 = b be the 3 points. (b) Derive the corresponding error term for this quadrature rule.

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