Showing $f$ is Riemann integrable.
37378
Is a function with limits Riemann integrable?
76292
Showing that $f$ is identically $0$ on $\mathbb{D}$
153855
Complex analysis, showing a function is constant
146813
Riemann integrability of continuous function defined on closed interval
16418
Showing that $\frac{f(x)-f(x-h)}{h} \le f'(x) \le \frac{f(x+h)-f(x)}{h}$ given that f' is increasing
18090
If there is $\{P_n\}$ of partitions with $\lim_{n\to\infty}[U(f,P_n) - L(f,P_n)]=0,$then $f$ is Riemann integrable.
23071
Showing that $f_0 (x_1, \ldots, x_m) \mathrm tr A =\displaystyle{ \sum_{i=1}^n} f_0(x_1, \ldots, Ax_i,\ldots, x_m)$
26687
Show that $f$ maps the unit circle to itself
74844
$f$ is bounded by $M$ on $[a, b]$ and if the restriction of $f$ to every interval $[c, b]$ where $c$ in $(a, b)$ is Riemann integrable
113385
Example of $f,g: [0,1]\to[0,1]$ and Riemann-integrable, but $g\circ f$ is not?
79590
Riemann and Darboux Integral of a product of two functions
76408
Show that $\int_0^\pi f(\sin x)\,\mathrm{d}x = 2\int_0^{\pi/2}f(\sin x) \, \mathrm{d}x$
157715
Proving $f$ is Lebesgue integrable iff $|f|$ is Lebesgue integrable.
49061
Show that $\int_{\partial P}z\frac {f'(z)} {f(z)} dz $ is on the lattice $\Lambda$
12488
Show that $\frac{uu_x + vv_x}{u^2 + v^2}$ is harmonic.
102943
$f(x)=1/q$ for $x=p/q$ is integrable
66504
Proof that $f$ is Lebesgue-integrable and calculate its integral