2. a) Compute the integral fa f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules for the following f
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2. a) Compute the integral fa f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules for the following f
2. a) Compute the integral fa f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules for the following function: f(x) = x cos(x), a = 0, b = n/2 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?
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