Using $\log$ and $\ln$ in Integration
128157
Textbook clarification: $\log = \ln$
23368
Does $\int_1^2\frac{\sin{x}}{\log{x}} \, dx$ converge?
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
17333
Definite Integral $\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$
109416
How to calculate $\int_0^1 \frac{\ln(1-x)}{x} dx$?
123802
Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
132452
Integral $\int_{\frac{1}{2}}^1 \frac{\ln x}{\sqrt{x^2+1}}dx$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
108007
Can anybody help me with this logarithm problem?
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
75267
integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
137060
Evaluating $\int_0^{\tfrac{\pi}{4}}\ln(\cos x-\sin x)\ln(\cos x) dx - \int_0^{\tfrac{\pi}{4}}\ln(\cos x+\sin x)\ln(\sin x)dx=\frac{G\ln 2}{2}$
121310
Integral $\int_0^1 \log \left(\Gamma\left(x+\alpha\right)\right)\,{\rm d}x=\frac{\log\left( 2 \pi\right)}{2}+\alpha \log\left(\alpha\right) -\alpha$
132369
Evaluating the indefinite integral $\int\log\!\left(x+\sqrt{x^2-1}\right)\!dx$