Question: a) Compute In = x2 sin(x) dx for n = 2, 4, 10, 20, 50, and 100 using Newton-Cotes quadrature. b) Compute the error, en

a) Compute In = x2 sin(x) dx for n = 2, 4, 10, 20, 50, and 100 using Newton-Cotes quadrature. b) Compute the error, en = I - In, for each n, given that the exact solution to the definite integral is I = 12 - 4

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