query: Integrating $\int\frac{1}{kx}dx$
positive_passages.docid: 150417
positive_passages.text: Two apparently different antiderivatives of $\frac{1}{2 x}$
negative_passages.docid: 129675
negative_passages.text: How to integrate $\int \frac{1}{\sin^4x + \cos^4 x} \,dx$?
negative_passages.docid: 31660
negative_passages.text: Integral $\int_{0}^{1}\left\{\frac{1}{x}\right\}\left\{\frac{1}{1-x}\right\}\left\{1-\frac{1}{x}\right\} d x=?$
negative_passages.docid: 88372
negative_passages.text: Integrate : $\int \frac{\sin x}{\sin4x} \,dx$
negative_passages.docid: 41416
negative_passages.text: Integrating $ \int_2^4 \frac{ \sqrt{\ln(9-x)} }{ \sqrt{\ln(9-x)}+\sqrt{\ln(x+3)} } dx. $
negative_passages.docid: 60182
negative_passages.text: Evaluate $\int\frac{1}{\sin(x-a)\sin(x-b)}\,dx$
negative_passages.docid: 81914
negative_passages.text: Integrating $\int_0^1 \frac {\log(1-x)\log^2(1+x)}x \mathrm{d}x$
negative_passages.docid: 98838
negative_passages.text: How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
negative_passages.docid: 110731
negative_passages.text: How to compute $\int_{0}^{1}\int_{0}^{1} \frac{x-y}{(x+y)^3} dxdy$
negative_passages.docid: 24832
negative_passages.text: Integrating $\frac{1}{\sqrt{ax^2+bx+c}}$ for $a<0$
negative_passages.docid: 81533
negative_passages.text: Integrating $\int_1^2 \int_0^ \sqrt{2x-x^2} \frac{1}{((x^2+y^2)^2} dydx $ in polar coordinates
negative_passages.docid: 38515
negative_passages.text: Integral of $\frac{1}{x^4+1}$
negative_passages.docid: 132388
negative_passages.text: Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
negative_passages.docid: 148826
negative_passages.text: Integral of $ 1 \, / \, (1 + a \, \cos(x) )$
negative_passages.docid: 105765
negative_passages.text: Integrating $\frac{x^k }{1+\cosh(x)}$
negative_passages.docid: 129734
negative_passages.text: Computing $\sum_{k=1}^{\infty}\frac{1}{k}\int_{\pi k}^{\infty}\frac{\sin(x)}{x}dx$
negative_passages.docid: 91955
negative_passages.text: Integral of $\int\frac{1}{\log x}dx$