the average of the left and right riemann sums is equivalent to the _____ sum. a. triagonal b. middle riemann c. central riemann d. trapezoidal in matlab

The average of the left and right Riemann sums is equivalent to the middle Riemann sum. In MATLAB, you can calculate the middle Riemann sum using the trapezoidal rule. Here is an example code snippet to calculate the middle Riemann sum using the trapezoidal rule:

main.m
% Define the function to be integrated
f = @(x) x^2;

% Define the interval [a, b]
a = 0; % lower limit
b = 1; % upper limit

% Define the number of subintervals (n)
n = 4;

% Calculate the width of each subinterval (h)
h = (b - a) / n;

% Calculate the left Riemann sum
left_sum = 0;
for i = 1:n
    x = a + (i-1) * h;
    left_sum = left_sum + f(x);
end

% Calculate the right Riemann sum
right_sum = 0;
for i = 1:n
    x = a + i * h;
    right_sum = right_sum + f(x);
end

% Calculate the average of the left and right Riemann sums (middle Riemann sum)
middle_sum = (left_sum + right_sum) / 2;

% Display the result
disp(middle_sum);
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The middle_sum variable will contain the value of the middle Riemann sum using the trapezoidal rule for the given function and interval.

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