query: Evaluation of an exotic integral
positive_passages.docid: 148613
positive_passages.text: Integrate $\int_{0}^{1}{x^{-x}(1-x)^{x-1}\sin{\pi x}dx}$
negative_passages.docid: 63988
negative_passages.text: General formula for evaluating integrals of the form $\displaystyle\int_0^\infty x^ae^{-bx}dx$
negative_passages.docid: 103374
negative_passages.text: A Problem on Improper Integrals
negative_passages.docid: 80952
negative_passages.text: A difficult integral evaluation problem
negative_passages.docid: 63650
negative_passages.text: Evaluating the contour integral $\int_{0}^{\infty}\frac{\sin^{3}(x)}{x^{3}}\mathrm dx$
negative_passages.docid: 89028
negative_passages.text: Evaluate the integral $\int e^{-x}x^n dx$
negative_passages.docid: 149910
negative_passages.text: interpreting triple integrals
negative_passages.docid: 134558
negative_passages.text: Visual references for the Riemann-Stieltjes integral.
negative_passages.docid: 156531
negative_passages.text: Evaluating the integral $\int_{-\infty}^\infty \frac{\sin^2(x)}{x^2}e^{i t x} dx$
negative_passages.docid: 128600
negative_passages.text: How to evaluate this integral$\int_{-\infty}^\infty\dfrac{\omega^\alpha e^{i\omega t}}{(\omega_0^2-\omega^2)^{2}+4(\zeta\omega_0\omega)^2}\,d\omega$
negative_passages.docid: 141999
negative_passages.text: How to integrate this nasty integral
negative_passages.docid: 93071
negative_passages.text: Is there a way to calculate the improper integral $\int_0^\infty \big(\frac{\ln x}{x - 1}\big)^2 dx$?
negative_passages.docid: 17115
negative_passages.text: Please tell me how to evaluate this integral.
negative_passages.docid: 84765
negative_passages.text: Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
negative_passages.docid: 85736
negative_passages.text: Evaluating the integral $\int_{-1}^{1} \frac{\sqrt{1-x^{2}}}{1+x^{2}} \, dx$ using a dumbbell-shaped contour
negative_passages.docid: 131925
negative_passages.text: Big integral in lmodern
negative_passages.docid: 8705
negative_passages.text: Evaluation of $\sum_{x=0}^\infty e^{-x^2}$