Evaluate an integral using MATLAB

I would like to numerically evaluate the following integral using MATLAB:

∫(3x^2 + 2x + 1) dx

Since I don't have the Symbolic Math Toolbox, how can I use MATLAB to approximate this integral using numerical methods? Could you provide an example?

Answer 1

[Harshavardhan Putta]

Hi,

I understand that you want to compute integral. If you don't have the Symbolic Math Toolbox, you can approximate the integral numerically using MATLAB's numerical integration functions. One commonly used function is integral, which performs adaptive quadrature integration. Here's an example of how you can use integral to approximate the given integral:

f = @(x) 3*x.^2 + 2*x + 1;
a = 0; % Lower limit of integration
b = 1; % Upper limit of integration

approximation = integral(f, a, b);

Please refer to the following documentation for more information.

https://in.mathworks.com/help/matlab/ref/integral.html

I hope this explanation helps!

Answer 2

[Torsten]

If you can't do it manually, getting the indefinite integral is not possible without the symbolic toolbox.

If you want to evaluate the integral in specified limits, use "integral":

https://uk.mathworks.com/help/matlab/ref/integral.html