query: Calculating $\int_{-\infty}^\infty \frac{\sin(x)}x \, dx\;$ using $\frac{(e^z - 1)}{z}$
positive_passages.docid: 158147
positive_passages.text: Calculating $\int_{-\infty}^{\infty}\frac{\sin(ax)}{x}\, dx$ using complex analysis
negative_passages.docid: 67263
negative_passages.text: Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
negative_passages.docid: 3704
negative_passages.text: Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
negative_passages.docid: 72036
negative_passages.text: Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?
negative_passages.docid: 31964
negative_passages.text: Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
negative_passages.docid: 84826
negative_passages.text: Evaluating $\int_0^{2 \pi} e^{\cos x} \cos (nx - \sin x) \,dx$ using complex analysis
negative_passages.docid: 32312
negative_passages.text: Evaluating the integral $\int \frac{x^2+x}{(e^x+x+1)^2}dx$
negative_passages.docid: 132383
negative_passages.text: Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$.
negative_passages.docid: 77834
negative_passages.text: Is it possible to compute $\int_{-\infty}^\infty {x \sin x\over x^4+1}dx$ without using complex analysis?
negative_passages.docid: 85081
negative_passages.text: $\int_{0}^{\infty} \frac{\cos x - e^{-x}}{x} \mathrm dx$ Evaluate Integral
negative_passages.docid: 76129
negative_passages.text: Evaluate $\int_0^\infty\frac{\sin(\varphi_1x)}x\frac{\sin\varphi_2x}x\cdots\frac{\sin\varphi_nx}x\frac{\sin(ax)}x\cos(a_1x)\cdots\cos(a_mx) \, dx$
negative_passages.docid: 81258
negative_passages.text: Evaluation of $\int_{-\infty}^\infty \frac{\sin(at)}t\ dt$
negative_passages.docid: 144811
negative_passages.text: Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
negative_passages.docid: 123694
negative_passages.text: How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
negative_passages.docid: 29425
negative_passages.text: $\int_{0}^{\infty}\frac{\sin^{2n+1}(x)}{x} \mathrm {d}x$ Evaluate Integral
negative_passages.docid: 64480
negative_passages.text: How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
negative_passages.docid: 123899
negative_passages.text: $\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$