Solving $\int_{0}^{1} \dfrac{\ln(x+1)}{x^2+1} dx$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
34967
Compute $ \int_{0}^{ \infty }\frac{\ln xdx}{x^{2}+ax+b}$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
141926
A Challenging Logarithmic Integral $\int_0^1 \frac{\log(x)\log(1-x)\log^2(1+x)}{x}dx$
147759
Integral $ \dfrac { \int_0^{\pi/2} (\sin x)^{\sqrt 2 + 1} dx} { \int_0^{\pi/2} (\sin x)^{\sqrt 2 - 1} dx} $
106812
Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
157931
Contour integration of $\int \frac{dx} {(1+x^2)^{n+1}}$
137060
Evaluating $\int_0^{\tfrac{\pi}{4}}\ln(\cos x-\sin x)\ln(\cos x) dx - \int_0^{\tfrac{\pi}{4}}\ln(\cos x+\sin x)\ln(\sin x)dx=\frac{G\ln 2}{2}$
64800
Evaluate $\int_0^1 \log \left( \frac{x^2+\sqrt{3}x+1}{x^2-\sqrt{3}x+1} \right) \frac{dx}{x} $
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
62840
Seemingly Simple Integral $\int_0^1\frac{x^2\ln x}{\sqrt{1-x^2}}dx$.
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
21857
Seeking methods to solve: $\int_0^\infty \frac{\ln(t)}{t^n + 1}\:dt$
158279
$\int_0^{\pi/2}\ln(\sin(x))$?