Recognizing that a function has no elementary antiderivative
3978
How can you prove that a function has no closed form integral?
139288
Formal proof that $e^x$ is not algebraic
17310
Can $f(x)=|x|^3$ be differentiated
85085
Simplifying the derivative of $|x|$
103485
Antiderivative of periodic function
2129
Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
5634
Neglect higher order derivatives in expression
14994
Showing a function $f$ cannot be surjective
150274
Inverse of a function - $f^-(x)$ in a restricted domain
36741
Anti-derivative of continuous function $\frac{1}{2+\sin x}$
37736
How to find a function in $ L_{2}(0,\infty)$ but not $L_{q}(0,\infty)$, $q\neq 2 $
27775
Proving a function is not a contraction
108633
Why $f^{-1}(f(A)) \not= A$
127664
Inverse elements in the absence of identities/associativity.
2243
Check if antiderivative is elementary
6186
An Integrable function which is not essentially bounded on any subinterval of $[0,1]$
33486
Negation of the Definition of Limit of a Function