query: Integrate $\frac{1}{x\,\log{x}}$ by parts
positive_passages.docid: 17852
positive_passages.text: $\int \frac{dx}{x\log(x)}$
negative_passages.docid: 93610
negative_passages.text: What is $\int_0^1 \frac{\log \left(1-x^2\right) \sin ^{-1}(x)^2}{x^2} \, dx$?
negative_passages.docid: 765
negative_passages.text: $\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
negative_passages.docid: 8289
negative_passages.text: Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
negative_passages.docid: 107947
negative_passages.text: Constants of integration in integration by parts
negative_passages.docid: 129947
negative_passages.text: Integral of $\log(\sin(x))$ using contour integrals
negative_passages.docid: 43484
negative_passages.text: Integration by parts: $\int e^{ax}\cos(bx)\,dx$
negative_passages.docid: 98838
negative_passages.text: How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
negative_passages.docid: 115089
negative_passages.text: Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
negative_passages.docid: 114080
negative_passages.text: Multivariate integration by parts
negative_passages.docid: 24974
negative_passages.text: Closed form for $\int_0^1\log\log\left(\frac{1}{x}+\sqrt{\frac{1}{x^2}-1}\right)\mathrm dx$
negative_passages.docid: 21464
negative_passages.text: Finding the integral $\int_0^1 \frac{x^a - 1}{\log x} dx$
negative_passages.docid: 53518
negative_passages.text: Integrating : $\int_0^1 {\frac {x^a-x^b} {\ln x} dx}$
negative_passages.docid: 45872
negative_passages.text: Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$
negative_passages.docid: 114195
negative_passages.text: Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
negative_passages.docid: 123767
negative_passages.text: How to integrate $\int \frac{1}{\cos(x)}\,\mathrm dx$
negative_passages.docid: 149341
negative_passages.text: Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$