query: Computation of integral $\int_{\rho} \frac{dz}{(z-a)(z-b)}$
positive_passages.docid: 18836
positive_passages.text: Complex integral over a circle
negative_passages.docid: 89499
negative_passages.text: Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$
negative_passages.docid: 135813
negative_passages.text: Soving a Complex Integral along a circle
negative_passages.docid: 96414
negative_passages.text: Using residues to evaluate the integral $\int_{-\pi}^{\pi} \frac{\cos(n\theta)}{1-2a\cos(\theta)+a^2}d\theta$, $|a|<1$
negative_passages.docid: 8432
negative_passages.text: Computing real integral using residues
negative_passages.docid: 45903
negative_passages.text: Improper integration involving complex analytic arguments
negative_passages.docid: 140638
negative_passages.text: Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
negative_passages.docid: 16820
negative_passages.text: Evaluate $\int_{\gamma} \frac{ |dz| }{z} $ where $\gamma $ is the unit circle
negative_passages.docid: 117101
negative_passages.text: Integrate $\int \frac{dx}{\sqrt{-ax^2 + bx +c}} $
negative_passages.docid: 154185
negative_passages.text: Evaluate $\iiint_{[0,1]^3}\frac{dx\,dy\,dz}{(1+x^2+y^2+z^2)^2}$
negative_passages.docid: 117624
negative_passages.text: Compute the integral $\int_{A} x^m y^n z^p (1-x-y-z)^q dx dy dz$
negative_passages.docid: 9223
negative_passages.text: Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
negative_passages.docid: 93759
negative_passages.text: Evaluate $\int_{0}^{\infty} \frac{e^{ax}-e^{bx}}{(1+e^{ax})(1+e^{bx})} dx$
negative_passages.docid: 150890
negative_passages.text: Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
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: 110731
negative_passages.text: How to compute $\int_{0}^{1}\int_{0}^{1} \frac{x-y}{(x+y)^3} dxdy$
negative_passages.docid: 120085
negative_passages.text: Compute $\int \frac{-3}{2x^2-x-1} dx$