query: Evaluate $\int_{0}^{\infty} \frac{\sin{x}}{x}\,dx$
positive_passages.docid: 3704
positive_passages.text: Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
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: 71982
negative_passages.text: Evaluating this integral $ \small\int \frac {x^2 dx} {(x\sin x+\cos x)^2} $
negative_passages.docid: 129913
negative_passages.text: Evaluate: $I=\int\limits_{0}^{\frac{\pi}{2}}\ln\frac{(1+\sin x)^{1+\cos x}}{1+\cos x}dx$
negative_passages.docid: 12604
negative_passages.text: Evaluate $\int_0^\pi xf(\sin x)dx$
negative_passages.docid: 118701
negative_passages.text: Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$
negative_passages.docid: 27002
negative_passages.text: Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
negative_passages.docid: 132000
negative_passages.text: Calculate $\int_0^\infty\frac{\sin x}xdx$ by integration of a suitable function along given paths
negative_passages.docid: 6014
negative_passages.text: Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
negative_passages.docid: 79633
negative_passages.text: Calculating the integral $\int_{-\infty}^{\infty} x\sin(x)/(x^2+1)^2 dx$
negative_passages.docid: 60182
negative_passages.text: Evaluate $\int\frac{1}{\sin(x-a)\sin(x-b)}\,dx$
negative_passages.docid: 3068
negative_passages.text: Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?
negative_passages.docid: 81831
negative_passages.text: Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
negative_passages.docid: 24182
negative_passages.text: Evaluating $\int_{0}^{\infty}\frac{\sin^{2n+1}x}{x}\mathrm{d}x$
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: 83703
negative_passages.text: Show that $\int_{0}^{\infty}|\frac{\sin x}{x}|\,dx=\infty $
negative_passages.docid: 17454
negative_passages.text: Evaluate the integral $\int_0^n \frac{f(x)}{f(x) + f(n-x)}dx $