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 builtin matlab function of your choice in matlab

To numerically integrate the function e^x from -1 to 1 using different number of segments, you can use the built-in function trapz in MATLAB.

Here is an example code that demonstrates how to perform the numerical integration using the specified number of segments:

main.m
stepsizevec = [10, 20, 40, 100, 1000];
integral_values = zeros(size(stepsizevec));

for i = 1:length(stepsizevec)
    stepsize = (2/stepsizevec(i));
    x = -1:stepsize:1;
    y = exp(x);
    integral_values(i) = trapz(x, y);
end

integral_values
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This code calculates the integral using different step sizes defined in the stepsizevec array. The trapz function is used to perform the trapezoidal numerical integration. The result for each step size is stored in the integral_values array.

After running the code, you will obtain the values of the integral for each step size in the integral_values array.