How to get a solution in terms of a constant when integrating?

I would like to integrate a function, the purpose of this is to find a constant inside the function so I don´t know the value of the constant I´m looking for. It is a very simple integration. I would like the result to be in terms of the constant.

This is the integration.

And I would like to have this result in Matlab.

I am a beginner so I don´t know if it´s posible.

This is my code

F = @(x,a) c*x^2 + x;
q = integral (@(x) F,0,1)

Answer 1

[Walter Roberson]

This is something that you are not going to be able to do with integral(). integral() is strictly for numeric integration.

You would need to use the Symbolic Toolbox

syms c y
F = c*y^2 + y;
int(F, y, 0, 1)

ans =