query: Evaluating a particular integral
positive_passages.docid: 146349
positive_passages.text: $\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
negative_passages.docid: 67837
negative_passages.text: Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
negative_passages.docid: 35861
negative_passages.text: Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
negative_passages.docid: 97582
negative_passages.text: How do I evaluate this integral $\int_0^\pi{\frac{{{x^2}}}{{\sqrt 5-2\cos x}}}\operatorname d\!x$?
negative_passages.docid: 51488
negative_passages.text: Evaluating $\int^\pi_{-\pi} \cos^3(x) \cos(ax)~dx$
negative_passages.docid: 96414
negative_passages.text: Using residues to evaluate the integral $\int_{-\pi}^{\pi} \frac{\cos(n\theta)}{1-2a\cos(\theta)+a^2}d\theta$, $|a|<1$
negative_passages.docid: 104094
negative_passages.text: Integral of $\frac{1}{(1+x^2)^2}$
negative_passages.docid: 130668
negative_passages.text: Evaluating the integral with trigonometric integrand
negative_passages.docid: 150890
negative_passages.text: Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
negative_passages.docid: 38511
negative_passages.text: Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
negative_passages.docid: 53830
negative_passages.text: Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $
negative_passages.docid: 32270
negative_passages.text: Integral depending on a parameter
negative_passages.docid: 130670
negative_passages.text: Solving Integrals
negative_passages.docid: 49203
negative_passages.text: Evaluating $\int \sqrt{1 + t^2} dt$?
negative_passages.docid: 75067
negative_passages.text: Compute this integral
negative_passages.docid: 31964
negative_passages.text: Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
negative_passages.docid: 31063
negative_passages.text: Evaluating $\int_0^2(\tan^{-1}(\pi x)-\tan^{-1} x)\,\mathrm{d}x$