Errors with Quad function

I am getting an error that I don't know how to fix. Here is the problem that I started with and the error messages that I am getting. Any help would be wonderful!

Question:

The following integral arises in the study of reaction-diffusion equations. It describes the width of repeating patterns in periodic steady state solutions. T(µ) = integral from 0 to 1 of ( µ / sqrt ( F(µ)−F(µz) ) dz. µ is a fixed constant with 0 < µ < 1 and F(x) = x^2 / 2 − x^3 / 3. Find T(0.01) using quad. My professor said that the F(x) is what we need to use µ in, which we will then put into the sqrt in our equation. We have to create a formula where z is the only variable so that we can use that with the quad function.

Errors that I am getting:

Error using  / 
Matrix dimensions must agree.

Error in
Homework_7>@(z)(mu/(sqrt(((((mu).^2)/2)-(((mu).^3)/3))-((((mu*z).^2)/2)-(((mu*z).^3)/3)))))

Error in quad (line 67)
y = f(x, varargin{:});

Error in Homework_7 (line 82)
quad(Tmu, 0, 1)

Answer 1

[madhan ravi]

put ./ instead of / usually integral is preferred than quad see doc

>> mu = 0.01
   Tmu = @(z)(mu ./ (sqrt(((((mu).^2)/2) - (((mu).^3)/3)) - ((((mu*z).^2)/2) - (((mu*z).^3)/3)))))
   integral(Tmu, 0, 1)  %changed quad to integral

mu =

    0.0100


Tmu =

  function_handle with value:

    @(z)(mu./(sqrt(((((mu).^2)/2)-(((mu).^3)/3))-((((mu*z).^2)/2)-(((mu*z).^3)/3)))))


ans =

    2.2309

>> 

[Shawna Myatt]

Thank you! Somehow we have talked about .^ in class but we have never talked about ./ being used as well.

[madhan ravi]

Anytime :) , make sure to accept the answer if it helped you and also be familiar with matlab's element wise operations ,

see

https://www.mathworks.com/help/matlab/matlab_prog/matlab-operators-and-special-characters.html