Evaluate $\int_{0}^{1} \frac{\ln(1-x)\ln^2(1+x)\:dx}{x}$
81914
Integrating $\int_0^1 \frac {\log(1-x)\log^2(1+x)}x \mathrm{d}x$
19514
$\int_0^{\infty } \frac{\log (x)}{e^x+1} \, dx = -\frac{1}{2} \log ^2(2)$ How to show?
71611
Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
64800
Evaluate $\int_0^1 \log \left( \frac{x^2+\sqrt{3}x+1}{x^2-\sqrt{3}x+1} \right) \frac{dx}{x} $
102639
How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
106812
Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
92637
Evaluating $\int \frac{\operatorname dx}{x\log x}$
132383
Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$.
120388
Evaluate $\int\frac{1}{1+x^6} \,dx$
61740
Evaluate the integration : $\int\sqrt{\frac{(1-\sin x)(2-\sin x)}{(1+\sin x)(2+\sin x)}}dx$
115992
Integrating $\frac{\log(1+x)}{1+x^2}$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
128607
Integral $\int\frac{(\ln x)^{10}}{x}\,dx$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
118701
Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$