How to proof that $e^{x^2}$ does not have a primitive function?
87041
How to determine with certainty that a function has no elementary antiderivative?
87613
Infinitely differentiable functions: how to prove that $e^\frac{1}{x^2-1}$ has derivative of any order?
59929
Why is $(e_n)$ not a basis for $\ell_\infty$?
61267
List of functions not integrable in elementary terms
40549
How to proof the the derivative of $x^2$ is $2x$?
121076
Show $x^p-t$ has no root in the field $\mathbb{F}_p(t)$
14994
Showing a function $f$ cannot be surjective
144802
Prove no solution to $x^2\equiv3\bmod5$
12639
Example of primitive function which isn't Riemann-integrable on a closed interval [0,1]
71252
What is the inverse function of $e^x +x$?
127605
What are some methods to show $\log$ is not a rational function?
107450
False proof that $ρe^{iθ} = ρ$ and so complex numbers do not exist?
29680
How to determine $\int x^2 e^{-x^2}\mathrm dx$?
94190
Disproving the statement "If $f(z)$ is not an entire function, then $g(z) = f^2(z)$ is not entire.”
113359
Proving that $x^2 + 4$ is not divisible by $3$
68275
Primitive Root Theorem Proof
18931
Is there really no way to integrate $e^{-x^2}$?