query: $\displaystyle\int_{0}^{2\pi}\frac{1}{a+ \cos\theta}\,d\theta$
positive_passages.docid: 24358
positive_passages.text: Finding $\int \frac{dx}{a+b \cos x}$ without Weierstrass substitution.
negative_passages.docid: 102156
negative_passages.text: Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
negative_passages.docid: 10341
negative_passages.text: complex integration $\frac{1-|a|^{2}}{\pi}\int_{L}\frac{|dz|}{{|z+a|}^{2}}$
negative_passages.docid: 21522
negative_passages.text: This integral is defined ? $\displaystyle\int_0^0\frac 1x\:dx$
negative_passages.docid: 156485
negative_passages.text: How to evaluate $\int_{0}^{2\pi}e^{\cos \theta}\cos( \sin \theta) d\theta$?
negative_passages.docid: 68421
negative_passages.text: Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.
negative_passages.docid: 60654
negative_passages.text: Integrate $\int_0^{2 \pi } \frac{1}{(a+b \cos^2 (x))^2} \, \mathrm{d}x$
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: 86857
negative_passages.text: Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
negative_passages.docid: 150809
negative_passages.text: Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
negative_passages.docid: 148826
negative_passages.text: Integral of $ 1 \, / \, (1 + a \, \cos(x) )$
negative_passages.docid: 123899
negative_passages.text: $\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
negative_passages.docid: 120168
negative_passages.text: How to calculate $\int_{0}^{\pi/2}{\{\tan(x)\}dx}$
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: 25489
negative_passages.text: Evaluate the Integral: $\int e^{2\theta}\ \sin 3\theta\ d\theta$
negative_passages.docid: 71988
negative_passages.text: Evaluate $\int_0^{2\pi} \frac{\sin^2\theta}{5+4\cos\theta}\,\mathrm d\theta$
negative_passages.docid: 67326
negative_passages.text: How to solve $ \int \limits _0 ^{2\pi} \dfrac{dx}{(\alpha +\beta\cos x)^2} $