Integrating $ \int_0^1 \frac{x-1}{\ln x}\,dx. $
19716
What is $\int_0^1\frac{x^7-1}{\log(x)}\mathrm dx$?
62840
Seemingly Simple Integral $\int_0^1\frac{x^2\ln x}{\sqrt{1-x^2}}dx$.
8289
Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
102649
Prove that $\int_0^1\frac{x\ln (1+x)}{1+x^2}dx=\frac{\pi^2}{96}+\frac{\ln^2 2}{8}$
123802
Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
38515
Integral of $\frac{1}{x^4+1}$
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
44059
Evaluating $\int_{-1}^{1}\frac{\arctan{x}}{1+x}\ln{\left(\frac{1+x^2}{2}\right)}dx$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
139121
Evaluating $\int _0 ^1 x^k(\ln x)^m dx$ for integer $k$ and $m$
31660
Integral $\int_{0}^{1}\left\{\frac{1}{x}\right\}\left\{\frac{1}{1-x}\right\}\left\{1-\frac{1}{x}\right\} d x=?$
45872
Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$
79908
Show $\int_0^\infty \frac{e^{-x}-e^{-xt}}{x}dx = \ln(t),$ for $t \gt 0$
132452
Integral $\int_{\frac{1}{2}}^1 \frac{\ln x}{\sqrt{x^2+1}}dx$
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
39629
Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$