query: How to integrate $\int_0^1 \frac{x^7-1}{\log(x)}dx$?
positive_passages.docid: 19716
positive_passages.text: What is $\int_0^1\frac{x^7-1}{\log(x)}\mathrm dx$?
negative_passages.docid: 88154
negative_passages.text: Proving $\int_{0}^1\frac{x-1}{\log x}dx=\log 2$ and $\int_{0}^1\frac{\log x}{x-1}dx=\frac{\pi^2}{6}$
negative_passages.docid: 141926
negative_passages.text: A Challenging Logarithmic Integral $\int_0^1 \frac{\log(x)\log(1-x)\log^2(1+x)}{x}dx$
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: 17852
negative_passages.text: $\int \frac{dx}{x\log(x)}$
negative_passages.docid: 31964
negative_passages.text: Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
negative_passages.docid: 72179
negative_passages.text: How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
negative_passages.docid: 80903
negative_passages.text: Help with integrating $\int_0^{\infty} \frac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration?
negative_passages.docid: 109416
negative_passages.text: How to calculate $\int_0^1 \frac{\ln(1-x)}{x} dx$?
negative_passages.docid: 65982
negative_passages.text: Evaluate the improper integral $ \int_0^1 \frac{\ln(1+x)}{x}\,dx $
negative_passages.docid: 75267
negative_passages.text: integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
negative_passages.docid: 86857
negative_passages.text: Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
negative_passages.docid: 113066
negative_passages.text: Calculate $\int_0^1f(x)dx$
negative_passages.docid: 49944
negative_passages.text: Integral $\int_1^3 \frac{\log x}{x^2+3}dx$
negative_passages.docid: 121310
negative_passages.text: Integral $\int_0^1 \log \left(\Gamma\left(x+\alpha\right)\right)\,{\rm d}x=\frac{\log\left( 2 \pi\right)}{2}+\alpha \log\left(\alpha\right) -\alpha$
negative_passages.docid: 133922
negative_passages.text: How to solve this integral? $I=\int{e^x \Big(2\log x+\frac{1}{x}+\frac{1}{x^2}\Big)dx}$
negative_passages.docid: 89346
negative_passages.text: How do you integrate $\int \frac{1}{a + \cos x} dx$?