query: Improper integration of sin(z)/z
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: 84826
negative_passages.text: Evaluating $\int_0^{2 \pi} e^{\cos x} \cos (nx - \sin x) \,dx$ using complex analysis
negative_passages.docid: 101587
negative_passages.text: Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $
negative_passages.docid: 53438
negative_passages.text: I need assistance in integrating $ \frac{x \sin x}{1+(\cos x)^2}$
negative_passages.docid: 31552
negative_passages.text: A contradictory integral: $\int \sin x \cos x \, \mathrm dx$
negative_passages.docid: 54638
negative_passages.text: Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
negative_passages.docid: 101030
negative_passages.text: Integration $I_n=\int _0^{\pi }\sin^{2n}\theta d\theta $
negative_passages.docid: 90573
negative_passages.text: Indefinite integral $\int(\sin x)^2/(x\cdot\cos x-\sin x)^2\,dx$
negative_passages.docid: 20016
negative_passages.text: How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$?
negative_passages.docid: 49333
negative_passages.text: How to evaluate improper integral $\int_{0}^{\infty}\frac{\tan^{-1}{x}}{e^{ax}-1}dx$?
negative_passages.docid: 61339
negative_passages.text: Integrating trigonometric function problem $\int \frac{3\sin x+2\cos x}{2\sin x+3\cos x}dx$
negative_passages.docid: 41447
negative_passages.text: tough integral involving $\sin(x^2)$ and $\sinh^2 (x)$
negative_passages.docid: 67608
negative_passages.text: Integration of $1/(x^2+x\sqrt{x})$
negative_passages.docid: 71742
negative_passages.text: integrate $\int_0^{2\pi} e^{\cos \theta} \cos( \sin \theta) d\theta$
negative_passages.docid: 10341
negative_passages.text: complex integration $\frac{1-|a|^{2}}{\pi}\int_{L}\frac{|dz|}{{|z+a|}^{2}}$
negative_passages.docid: 141999
negative_passages.text: How to integrate this nasty integral
negative_passages.docid: 130668
negative_passages.text: Evaluating the integral with trigonometric integrand