Question: a) Compute the integral f f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules for the following function: f(x) = x cos(x),

a) Compute the integral f f(x) dx using 5 point composite rectangle,

a) Compute the integral f f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules for the following function: f(x) = x cos(x), a = 0, b) Estimate error using a posteriori error estimation formulas. c) Compute the analytical value of the integral and compare it with the ones given by numerical methods. Which rule gives more accurate result? b = 2n

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