A function which is periodic and integrable
31319
An integrable and periodic function $f(x)$ satisfies $\int_{0}^{T}f(x)dx=\int_{a}^{a+T}f(x)dx$.
135567
Is every Riemann-integrable function lebesgue integrable?
108284
Integration and existence of an antiderivative
86618
Approximating Riemann integrable functions
112501
A funtion and its fourier transformation cannot both be compactly supported unless f=0
36212
Harmonic Function with linear growth
6186
An Integrable function which is not essentially bounded on any subinterval of $[0,1]$
85750
If $f(x)=\int_{x-1}^x f(s)ds$, is $f$ constant? Periodic?
39386
Harmonic non-surjective functions are constant
78472
Sequence is periodic $x_{n+2}=|x_{n+1}-x_{n-1}|$
26169
Function $f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ three times
80210
It is posible to have a function $f$ with the following property?
58647
Show that $f$ is integrable and $\int_{I} f=0$
62268
Doubly periodic entire function with periods that are linearly independent over $\mathbb{Q}$ is constant.
102943
$f(x)=1/q$ for $x=p/q$ is integrable
82488
Periodic solution of differential equation $y′=f(y)$
91775
Show that $\int_0^1 f^2(x)dx\geq 3$, if $f:[0,1]\to \mathbb{R}$ is an integrable function s.t. $\int_0^1 f(x)dx=\int_0^1 xf(x)dx=1$