# Thread: How to prove that a function has no closed-form integral?

1. ## How to prove that a function has no closed-form integral?

We know from calculus books that some functions (such as e^(-x^2) and sinx/x) have no closed-form integrals but no proofs are given. I want to know where can I find proofs of such statements? Thanks.

2. ## Re: How to prove that a function has no closed-form integral?

such proofs usually use ideas well beyond the scope of calculus texts. for example: