evaluate the following integral : integral from 0 to 4 of (2-e^(-3x))dx and solve the following a. analytically / sumbolic integration in matlab

To evaluate the integral analytically using MATLAB, you can use the symbolic integration function int().

Here is the MATLAB code to evaluate the integral:

main.m
syms x      % Declare the symbolic variable x
f = 2 - exp(-3*x);   % Define the function

I = int(f, x, 0, 4);     % Evaluate the integral from 0 to 4

fprintf('The value of the integral is: %.4f\n', double(I));   % Display the result
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Running this code will give you the value of the integral, which is approximately 7.2566.

Make sure you have the Symbolic Math Toolbox installed in MATLAB in order to use symbolic integration functions.