Prove that $f(x)=x^3$ is Riemann integrable on $[0,1]$ using partitions
140172
How to compute the Riemann sum of $x^n$ for any positive integer $n$?
102943
$f(x)=1/q$ for $x=p/q$ is integrable
139453
Prove that $\frac{1}{f'(a)} = \frac{1}{2\pi i} \int_C \frac{1}{f(z)-f(a)} dz$
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.
61782
How to prove that $f(x) = \frac{-2x+1}{(2x-1)^2-1}$ is one-to-one on $(0,1)$?
144322
Prove for bounded $f$, if $f:[a,r] \to \mathbb{R}$ is Riemann-Integrable for $r \in [a,b)$ then $f:[a.b] \to \mathbb{R}$ is Riemann-Integrable
70845
Contour method to show that $\int_0^\infty\frac{x-\sin x}{x^3} \, dx=\frac\pi4$
31522
Proving $f$ has at least one zero inside unit disk
11129
Show that $\int_0^ \infty \frac{1}{1+x^n} dx= \frac{ \pi /n}{\sin(\pi /n)}$ , where $n$ is a positive integer.
42817
proving $\lim\limits_{n\to\infty} \int_{0}^{1} f(x^n)dx = f(0)$ when f is continous on [0,1]
125814
The function $f(z)=z+\frac{1}{z}$ maps $\Omega$ biholomorphically on the upper plane
146921
If |f| is Riemann integrable, then f is Riemann integrable???
26566
Composition of two Riemann integrable functions
121771
Proof $f(x)\equiv 0$
52902
How to prove $\int_{\mathbb R^d}{(1+|x|^{2})^{-m}dx}$ is integrable?
23049
Riemann integration of a function with finite number of non zero points.
14277
Proving $f(x)=x\cdot |x|$ is a bijection