query: Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
positive_passages.docid: 150890
positive_passages.text: Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
negative_passages.docid: 76400
negative_passages.text: Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
negative_passages.docid: 177
negative_passages.text: How can I calculate $\int^{\infty}_{-\infty}\Phi\left(\frac{w-a}{b}\right)\phi(w)\,\mathrm dw$
negative_passages.docid: 69978
negative_passages.text: Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
negative_passages.docid: 89499
negative_passages.text: Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$
negative_passages.docid: 63167
negative_passages.text: Evaluate integral $\int_0^\frac{\pi}{2} \ln\left(\frac{1+a\cos x}{1-a\cos x}\right) \frac{\mathrm{d} x}{\cos x}$ for $\left|a\right|<1$
negative_passages.docid: 98365
negative_passages.text: How to evaluate $\lim_{x \rightarrow \infty} \left(\left(\frac{x+1}{x-1}\right)^x -e^2\right){x}^2$
negative_passages.docid: 94395
negative_passages.text: Integral: $\int_{-\infty}^{\infty} x^2 e^{-x^2}\mathrm dx$
negative_passages.docid: 33005
negative_passages.text: How to evaluate $\int_{0}^{+\infty}\exp(-ax^2-\frac b{x^2})\,dx$ for $a,b>0$
negative_passages.docid: 140638
negative_passages.text: Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
negative_passages.docid: 106812
negative_passages.text: Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
negative_passages.docid: 68319
negative_passages.text: How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
negative_passages.docid: 35861
negative_passages.text: Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
negative_passages.docid: 100569
negative_passages.text: Evaluating the improper integral $\int_{0}^{\infty} \frac{x^3}{e^{x}-1} dx$
negative_passages.docid: 78033
negative_passages.text: Evaluating $\prod_{n=1}^{\infty}\left(1+\frac{1}{2^n}\right)$
negative_passages.docid: 23087
negative_passages.text: Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
negative_passages.docid: 74955
negative_passages.text: Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$