Example of bounded f:[0,1]->R which has primitive but not Riemann-integrability in closed interval?
12639
Example of primitive function which isn't Riemann-integrable on a closed interval [0,1]
30219
Sufficient condition(s) for $f'$ to be Riemann integrable
23942
If a function $f(x)$ is Riemann integrable on $[a,b]$, is $f(x)$ bounded on $[a,b]$?
74339
Integrable function whose Fourier transform is not integrable
48246
Approximation of Riemann integrable function with a continuous function
139614
Polynomial bounded real part of an entire function
135152
Non-UFD integral domain such that prime is equivalent to irreducible?
42774
Examples of involutions on $\mathbb{R}$
47992
Is there a function $f\colon\mathbb{R}\to\mathbb{R}$ such that every non-empty open interval is mapped onto $\mathbb{R}$?
147722
Is there a nice example of integral domain $R$ and $s,t \in R$, with $Rs \cap Rt$ not principal but lcm($s,t$) exists?
48162
Is the subset $[0, \sqrt2] ∩\mathbb{Q} ⊂ \mathbb{Q}$ closed, bounded, compact?
5295
Can the graph of a bounded function ever have an unbounded derivative?
158940
Give an example of a continuous function $f : [0, ∞) \mapsto [0, ∞)$ such that $\int_{0}^{\infty}f(x)dx$ exists but $f$ is unbounded.
91736
Explicit homeomorphism between open and closed rational intervals?
13506
Can an unbounded function have a finite integral?
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
101230
Example of an increasing, integrable function $f:[0,1]\to\mathbb{R}$ which is discontinuous at all rationals?