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Integrating using sums(riemann sums)

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WILLBES BANDA
WILLBES BANDA on 1 Apr 2020
Commented: Elvin on 20 Jul 2023
Hi, i want to find the integral of function f without using the int function with the limits 5 and 17 . I want to find the riemann sum of the function f.
I tried solving it by using the int function but now i want to find the area withou using int. below is my code but n should represent the number of divisions that gives an accuracy of 10^-4 , i am not sure if my value of n is correct or not? how do i find n and the area (c) ?please help.
format longG
syms x
f = 2*pi*(0.16*(0.25-(x-1)^2)+44.52)*(1+(-0.32*x - 0.32)^2)^1/2;
a = int(f,5,17.688);
b = sym(a);
c = double(b);
n = (17.688-5)/0.0001;
SurfaceArea = [c n]

Accepted Answer

Birdman
Birdman on 1 Apr 2020
You may use rsums. It allows you to interactively calculate the riemann sum integral:
rsums(f,5,17.688)
  10 Comments
WILLBES BANDA
WILLBES BANDA on 1 Apr 2020
Noted. Thank you Honourable
Elvin
Elvin on 20 Jul 2023
I tried this but it says "unrecognized function"

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