$\int \frac{1}{x(x+1)...(x+n)}dx$
107179
Partial fraction expansion of $\frac{1}{x(x+1)(x+2)\cdots(x+n)}$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
8606
Calculate $\int^{n+1}_1 \frac{(\{x\})^{[x]}}{[x]}dx$ where $n\in\mathbb{N}$, $[x]$ is the integer part of $x$ and $\left\{ x\right\} =x-[x]$.
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
79170
$1 + \frac{1}{1+2}+ \frac{1}{1+2+3}+ ... + \frac{1}{1+2+3+...+n} = ?$
117587
$\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
6830
Find $\int\frac1x\sqrt\frac{1-x}{1+x}\ dx$
31660
Integral $\int_{0}^{1}\left\{\frac{1}{x}\right\}\left\{\frac{1}{1-x}\right\}\left\{1-\frac{1}{x}\right\} d x=?$
102639
How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
144942
Obtain the value of $\int_0^1f(x) \ dx$, where $f(x) = \begin{cases} \frac {1}{n}, & \frac{1}{n+1}<x\le\frac{1}{n}\\ 0, & x=0 \end{cases}$
82311
Computing the primitive $\int\frac{1}{1+x^n} dx$
46359
Finding the general integrals of functions like $\frac1{x^n+1}$, $\cos^nx$.
138169
Finding $\lim\limits_{n \to \infty }n\int_{0}^{1}\frac{x^{n}}{1+x+x^{n}}dx$
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
2487
Integral $\int \frac{\mathrm{d}x}{\sqrt{x}+\sqrt{x+1}+\sqrt{x+2}}$
4971
$\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$