Find value of $\int_{0}^{\frac{\pi}{2}} \log ^2(\sin x)dx$
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
79466
Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
10806
Find the value of $\int_{-\infty}^\infty \int_{-\infty}^\infty e^{-(x^2+xy+y^2)} \, dx\,dy$
49944
Integral $\int_1^3 \frac{\log x}{x^2+3}dx$
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
7388
Evaluate: $\int_0^{\pi} \ln \left( \sin \theta \right) d\theta$
133485
How to solve $\int_0^{\infty} \frac{\log(x+\frac{1}{x})}{1+x^2}dx$?
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
158279
$\int_0^{\pi/2}\ln(\sin(x))$?
115089
Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
19514
$\int_0^{\infty } \frac{\log (x)}{e^x+1} \, dx = -\frac{1}{2} \log ^2(2)$ How to show?
137060
Evaluating $\int_0^{\tfrac{\pi}{4}}\ln(\cos x-\sin x)\ln(\cos x) dx - \int_0^{\tfrac{\pi}{4}}\ln(\cos x+\sin x)\ln(\sin x)dx=\frac{G\ln 2}{2}$
86857
Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
18672
Integrate $\int_{0}^{\pi}{\frac{x\cos{x}}{1+\sin^{2}{x}}dx}$