Nowhere integrable function
85208
Is there a function with infinite integral on every interval?
15160
Example of Riemann integrable $f: [0,1] \to \mathbb R $ whose set of discontinuity points is an uncountable and dense set in $[0,1]$
37378
Is a function with limits Riemann integrable?
20688
Discontinuous functions with closed graphs
144426
Example of a function $f:\mathbb{R}^2\to\mathbb{R}$ not differentiable at $(0,0)$, but has a directional derivative at $(0,0)$ in all directions
68171
Non-trigonometric Continuous Periodic Functions
144023
Indefinite integral which is not differentiable
119947
Can a non-zero vector have zero image under every linear functional?
15820
Discontinuous linear functional
87951
Normalizable wavefunction that does not vanish at infinity
64840
A Banach space that is not a Hilbert space
37736
How to find a function in $ L_{2}(0,\infty)$ but not $L_{q}(0,\infty)$, $q\neq 2 $
18942
An equivalent definition of uniform integrability
124997
finding examples for a non negative and continuous function for which the infinite integral is finite but the limit at infinity doesn't exist
48246
Approximation of Riemann integrable function with a continuous function
110395
Integrable function $f$ on $\mathbb R$ does not imply that limit $f(x)$ is zero
130180
Smooth function with all derivatives zero