Functions without an elementary primitive

23 Views Asked by At

$Li(x)$ Is a non elementary function being the primitive of $\frac{1}{log(x)}$. I know also that the primitive of $e^{x^2}$ Is not elementary and I know that Gauss calculated some definite integral involving that function. Are there other examples of functions which doesnt have an elementary primitive? How to prove that a function has not an elementary primitive?