numerically integrate ex from -1 to 1 using the following number of segments: 10, 20, 40, 100, 1000 (use stepsizevec as a list of step sizes). utilize a manually coded trapezoidal method. in matlab

main.m
stepsizevec = [0.2, 0.1, 0.05, 0.02, 0.002]; % List of step sizes
result = zeros(1, length(stepsizevec)); % Initialize the result vector

for i = 1:length(stepsizevec)
    stepsize = stepsizevec(i);
    x = -1:stepsize:1; % Generate x values
    y = exp(x); % Evaluate y values
    
    % Calculate the trapezoidal rule
    result(i) = stepsize * sum(y) - 0.5 * stepsize * (y(1) + y(end));
end

result % Display the results
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