I have the following equation and want to find $f(x)$
$f(x)=x $ + $\int_{0}^{1} (xy^2 + yx^2)$ $f(y)dy$
When i tried to get a solution from wolfram alpha, it gave me an answer but says it is solving a Fredholm Integral Equation. I am a high schooler and have no idea what that means. Is there any simpler method to solve the above problem for $f(x)$?
Also if it is convenient can one please explain what a fredholm integral equation is and how to solve it?
Edit: Can someone help me?