2. a) Compute the integral ſ f(x)dx using 5 point composite rectangle, trapezoid and Simpson rules for the following fun

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2 A Compute The Integral S F X Dx Using 5 Point Composite Rectangle Trapezoid And Simpson Rules For The Following Fun 1 (29.94 KiB) Viewed 27 times

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