query: Calculate $\int_0^\pi\log\sin\theta \,d\theta$ using contour integration only
positive_passages.docid: 103598
positive_passages.text: Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$
negative_passages.docid: 45841
negative_passages.text: integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?
negative_passages.docid: 118800
negative_passages.text: Calculating $\int_0^\pi \log(1-2a\cos (x)+a^2)\,dx$
negative_passages.docid: 102636
negative_passages.text: Contour Integral: $\int^{\infty}_{0}(1+z^n)^{-1}dz$
negative_passages.docid: 98741
negative_passages.text: Finding $\int_{0}^{\frac{\pi}{4}} \frac{\tan \theta - \tan^3 \theta}{\ln \tan \theta}$
negative_passages.docid: 20025
negative_passages.text: Fourier transform of $\exp(-t^2)$ using contour integration.
negative_passages.docid: 144811
negative_passages.text: Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
negative_passages.docid: 30829
negative_passages.text: A question in Complex Analysis $\int_0^{2\pi}\log(1-2r\cos x +r^2)\,dx$
negative_passages.docid: 32672
negative_passages.text: Integrating :$\int_{0}^{1} \frac{x^{b}-x^{a}}{\log(x)}\sin(\log(x))dx$
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: 15625
negative_passages.text: Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
negative_passages.docid: 6483
negative_passages.text: Computing $\int_{0}^{\pi}\ln\left(1-2a\cos x+a^2\right) \, dx$
negative_passages.docid: 74241
negative_passages.text: Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
negative_passages.docid: 103487
negative_passages.text: Integration of the cardinal sine
negative_passages.docid: 27790
negative_passages.text: Evaluating $\int_0^{\large\frac{\pi}{4}} \log\left( \cos x\right) \, \mathrm{d}x $
negative_passages.docid: 116778
negative_passages.text: Calculation of an integral via residue.
negative_passages.docid: 61515
negative_passages.text: Evaluate $\int_0^{\infty} \frac{\log(x)dx}{x^2+a^2}$ using contour integration