solve for area using integral in matlab

To solve for area using integral in MATLAB, you need to define a function that describes the curve you want to integrate. Then, you can use the integral function in MATLAB to numerically integrate the function and find the area. Here is an example code:

main.m
% Define the function to integrate
f = @(x) x.^2 + 1; % Example function: x^2 + 1

% Define the lower and upper bounds of the integral
a = 0; % Lower bound
b = 1; % Upper bound

% Integrate the function using the integral function
area = integral(f, a, b);

% Display the result
fprintf('The area under the curve is %f\n', area);
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In this example, we defined the function f as x^2 + 1, and we integrated it from 0 to 1. The integral function then calculates the numerical value of the integral, which represents the area under the curve. The result is displayed using the fprintf function.