How can it be proved that $\int e^{-x^2}dx$ has no elementary closed form?
3978
How can you prove that a function has no closed form integral?
1416
closed form of $\int_{0}^{2\pi}\frac{dx}{(a^2\cos^2x+b^2\sin^2x)^n}$
109295
Proving $1-\exp(-4x^2/ \pi) \ge \text{erf}(x)^2$
30781
Why the representation in the form of $Z'X(X'X)^{-1}X'Z$ can not be simplified into $Z'Z$
19828
Show that $\frac{x^3}{x^2+y^2}$ is not differentiable at $(0,0)$, even though all directional derivatives exist
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
49884
Integral vanishes on all intervals implies the function is a.e. zero
56171
Is $K(X)$ never algebraically closed?
92599
Prove there generally is no isomorphism between $R[x]/(x^2-a)$ and $R^2$
136195
Stuck trying to prove that $e^{-x^{-2}}$ is $C^{\infty}$
96328
Proving $e^{i\pi} = -1$ without proving $e^{ix} = \cos x + i\sin x$
5537
Closed form for $ \int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$
123507
How to find the closed form of multiplications of exponentials?
8705
Evaluation of $\sum_{x=0}^\infty e^{-x^2}$
118195
How does one prove that $e$ exists?
5034
A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$
12217
What is so special about $\alpha=-1$ in the integral of $x^\alpha$?