A standard text might leave you with a series expression. Wazwaz, however, shows you the : Let $u(x) = \sum_n=0^\infty u_n(x)$. The integral becomes a recurrence: $$u_0(x) = x$$ $$u_k+1(x) = \int_0^1 xt , u_k(t) , dt$$ He then shows that after three iterations, you converge to $u(x) = x + \frac34x$, which is the exact solution. This practical, iterative approach is why users hunt for the full PDF—to clone these algorithms into MATLAB or Mathematica.
u(x)=∑n=0∞un(x)u open paren x close paren equals sum from n equals 0 to infinity of u sub n open paren x close paren integral equations wazwaz pdf full