query: How to evaluate $ \int_{0}^{1} \frac{\ln(1+x)}{x} dx $?
positive_passages.docid: 57686
positive_passages.text: Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
negative_passages.docid: 44059
negative_passages.text: Evaluating $\int_{-1}^{1}\frac{\arctan{x}}{1+x}\ln{\left(\frac{1+x^2}{2}\right)}dx$
negative_passages.docid: 72179
negative_passages.text: How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
negative_passages.docid: 46310
negative_passages.text: Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
negative_passages.docid: 102639
negative_passages.text: How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
negative_passages.docid: 91306
negative_passages.text: Integration of $\frac{1}{\log(x)}$
negative_passages.docid: 96505
negative_passages.text: Compute $\int_0^\infty \left(\frac{1}{x}\right)^{\ln(x)}\,\mathrm{d}x$
negative_passages.docid: 58909
negative_passages.text: Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
negative_passages.docid: 128607
negative_passages.text: Integral $\int\frac{(\ln x)^{10}}{x}\,dx$
negative_passages.docid: 41515
negative_passages.text: fine the limit : $\lim_{ n \to \infty }\frac{1}{n}\int_{0}^{n}{ \frac{x\ln(1+\frac{x}{n})}{1+x}}=?$
negative_passages.docid: 17996
negative_passages.text: Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
negative_passages.docid: 88670
negative_passages.text: Evaluating $\int \frac{1}{{x^4+1}} dx$
negative_passages.docid: 107119
negative_passages.text: A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$
negative_passages.docid: 99753
negative_passages.text: How to prove $\int_0^1\frac{1-x}{(\ln x)(1+x)}\ dx=\ln\left(\frac2{\pi}\right)$?
negative_passages.docid: 100401
negative_passages.text: Evaluate $\int \frac{1}{(x^2+1)^2}dx$
negative_passages.docid: 138174
negative_passages.text: Integral $\int_0^1 \frac{x\ln\left(\frac{1+x}{1-x}\right)}{\left(\pi^2+\ln^2\left(\frac{1+x}{1-x}\right)\right)^2}dx$
negative_passages.docid: 17852
negative_passages.text: $\int \frac{dx}{x\log(x)}$