fi(x) = 4x3 + 5x + x 2; x [1,5] x2 f2(x) [2,...

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fi(x) = 4x3 + 5x² + x – 2; x € [1,5] x2 f2(x) хе [2, 20] 2x3 + 3' f3(x) = 2x²e-*; x € [0,4] i) Calculate integrals for above funtions analytically. ii) Write computer code finding integrals numerically by following methods. For all methods, obtain a table which contains number of data N, integration result for current N number, and error between current integration result and exact analytical solution. Use N = 5, 10,50, 100, 1000 values for a) and b) sections. Use N = 5,9,49,99, 999 values for c) section where N indicates number of sample points which taken from the function. a) Directly use function values for each interval, Jfc) dx Σf(α) Δε b) Trapezodial rule. c) Simpson's 1/3 rule. iii) Make comments about results and comparisons about methods. 2. fi(x) = 4x3 + 5x² + x – 2; x € [1,5] x2 f2(x) хе [2, 20] 2x3 + 3' f3(x) = 2x²e-*; x € [0,4] i) Calculate integrals for above funtions analytically. ii) Write computer code finding integrals numerically by following methods. For all methods, obtain a table which contains number of data N, integration result for current N number, and error between current integration result and exact analytical solution. Use N = 5, 10,50, 100, 1000 values for a) and b) sections. Use N = 5,9,49,99, 999 values for c) section where N indicates number of sample points which taken from the function. a) Directly use function values for each interval, Jfc) dx Σf(α) Δε b) Trapezodial rule. c) Simpson's 1/3 rule. iii) Make comments about results and comparisons about methods. 2.

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a integrals for the fuctions given are derived below b matlab deinne the function f1 using function handle f1x 4x35x2x2 a1 b5 dispTable for simpson for the function f1 fprintfN I err fprintf for N2510... View the full answer