Find $\int^{2}_{0} (x^2+1) d{\lfloor x \rfloor}$
67830
Evalute the definite integral: $\int_{0}^{3} (x^2+1) d[x]$
87338
Find the value of a given integral sequence: $I_n=\int_{0}^{1}(1-x^2)^ndx$
106812
Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
124426
Help in evaluating: $\lim_{n \to \infty} \frac{\sum_{k=1}^n\lfloor kx\rfloor}{n^2} $
19631
Finding $\lim_{n\to \infty}\sqrt n \int_0^1 \frac{\,dx}{(1+x^2)^n}$
132452
Integral $\int_{\frac{1}{2}}^1 \frac{\ln x}{\sqrt{x^2+1}}dx$
150809
Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
86857
Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
45841
integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?
68639
given $I_{n}=\int^1_{0}x^n\sqrt{1-x^2}dx$, then finding value of $ \frac{I_{n}}{I_{n-2}}$
5934
How to prove floor identities?
108694
Efficient computation of $\sum_{i=1}^{i=\left \lfloor {\sqrt{N}} \right \rfloor}\left \lfloor \frac{N}{i^{2}} \right \rfloor$
102580
How to solve an definite integral of floor valute function?
102486
Simplifying $\sum_{i=1}^n{\lfloor \frac{n}{i} \rfloor}$?
16337
Find the solution of $\lfloor \sin^{-1}(x)\rfloor>\lfloor \cos^{-1}(x)\rfloor$
158463
Analyzing $\biggl\lfloor{\frac{x}{5}}\bigg\rfloor=\bigg\lfloor{\frac{x}{7}}\bigg\rfloor$
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$