query: Existence problem of $\int\frac{\sin x}xdx$
positive_passages.docid: 152672
positive_passages.text: Liouville's Criterion and Integration of $\sin(z)/z$ using elementary functions
negative_passages.docid: 126046
negative_passages.text: solving the integral $ \int_0^\infty \dfrac{\sin xt}{x(x^2+1)} dx $
negative_passages.docid: 17852
negative_passages.text: $\int \frac{dx}{x\log(x)}$
negative_passages.docid: 145335
negative_passages.text: Is $ \int_0^1{\frac{\sin x}{x}dx} $ convergent?
negative_passages.docid: 39629
negative_passages.text: Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
negative_passages.docid: 30127
negative_passages.text: Integration of sqrt Sin x dx
negative_passages.docid: 26814
negative_passages.text: Solve $\int \frac{1}{\sin ^{\frac{1}{2}}x \cos^{\frac{7}{2}}x}dx$
negative_passages.docid: 99457
negative_passages.text: How to integrate $\int x\sin {(\sqrt{x})}\, dx$
negative_passages.docid: 103374
negative_passages.text: A Problem on Improper Integrals
negative_passages.docid: 139297
negative_passages.text: Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
negative_passages.docid: 106812
negative_passages.text: Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
negative_passages.docid: 94244
negative_passages.text: $\sin \frac{1}{x}$ is not uniformly continuous on $[1, \infty]$
negative_passages.docid: 2717
negative_passages.text: Help proving existence of an specific $x_0$ for which $f''(x_0)=0$
negative_passages.docid: 506
negative_passages.text: Finding $\int x^xdx$
negative_passages.docid: 51837
negative_passages.text: Show that $\int_{0}^{\pi} xf(\sin(x))\text{d}x = \frac{\pi}{2}\int_{0}^{\pi}f(\sin(x))\text{d}x$
negative_passages.docid: 148613
negative_passages.text: Integrate $\int_{0}^{1}{x^{-x}(1-x)^{x-1}\sin{\pi x}dx}$
negative_passages.docid: 21375
negative_passages.text: The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$