Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
99753
How to prove $\int_0^1\frac{1-x}{(\ln x)(1+x)}\ dx=\ln\left(\frac2{\pi}\right)$?
33097
Proving an inequality without an integral: $\frac {1}{x+1}\leq \ln (1+x)- \ln (x) \leq \frac {1}{x}$
4971
$\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$
21464
Finding the integral $\int_0^1 \frac{x^a - 1}{\log x} dx$
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
141892
How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
123802
Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
109385
Evaluating the integral $\int_{-\ln 2}^{\ln 2} e^{-x}(\sin x+x)^{1/3}dx$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
44059
Evaluating $\int_{-1}^{1}\frac{\arctan{x}}{1+x}\ln{\left(\frac{1+x^2}{2}\right)}dx$
50471
Evaluate $\int\frac1{1+x^n}dx$ for $n\in\mathbb R$
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
65982
Evaluate the improper integral $ \int_0^1 \frac{\ln(1+x)}{x}\,dx $
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
53830
Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $