$\int_0^1{\frac{x-1}{(x+1)\ln x}dx}$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
85949
Integral involving logarithm: $\int_0^\infty \frac{ \ln x}{(x+a)(x+b)} dx$
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
96505
Compute $\int_0^\infty \left(\frac{1}{x}\right)^{\ln(x)}\,\mathrm{d}x$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
83325
Integral of $\frac{\sqrt{x^2+1}}{x}$
21464
Finding the integral $\int_0^1 \frac{x^a - 1}{\log x} dx$
8606
Calculate $\int^{n+1}_1 \frac{(\{x\})^{[x]}}{[x]}dx$ where $n\in\mathbb{N}$, $[x]$ is the integer part of $x$ and $\left\{ x\right\} =x-[x]$.
38515
Integral of $\frac{1}{x^4+1}$
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
132383
Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$.
79466
Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
8289
Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
5034
A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$
58616
A generalization for Serret's integral $\int_0^a \frac{\ln(1+ax)}{1+x^2}dx$
91333
How to find $\int_{0}^{1}\dfrac{\ln^2{x}\ln^2{(1-x)}}{2-x}dx$