Simpson's rule for integrating a function over the interval [-h, h] can be written in the form, •h [*"* f (x)dx = w₁f (− h) + w₂f (0) +wsf(h) + E, (3) -h where w1, W2 and w3 are constants, and E represents the error term. Use the method of undetermined coefficients to find the constants w₁, W2 and w3. Calculate the Simpson's rule approximation to the integral I = = Cπ/2 cos(x)dx, (4) 0

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