query: Compute $\int_{|r|=2}\frac{1}{z^2+1}dz$
positive_passages.docid: 142619
positive_passages.text: Evaluating the complex integral $\int_{|z|=2}^{}\frac{1}{z^2+1}dz$
negative_passages.docid: 91333
negative_passages.text: How to find $\int_{0}^{1}\dfrac{\ln^2{x}\ln^2{(1-x)}}{2-x}dx$
negative_passages.docid: 68241
negative_passages.text: Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
negative_passages.docid: 153867
negative_passages.text: Evaluate $ \int_{0}^{\frac{\pi}2}\frac1{(1+x^2)(1+\tan x)}\:\mathrm dx$
negative_passages.docid: 8642
negative_passages.text: Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $
negative_passages.docid: 83801
negative_passages.text: Finding $\int \frac {dx}{\sqrt {x^2 + 16}}$
negative_passages.docid: 4833
negative_passages.text: Compute $\int_0^1\frac{f(x)}{f(x)+f(1-x)}dx$ and $\int_{-\pi}^{\pi}\frac{1}{1+e^{\sin (x)}}\,dx$?
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: 67263
negative_passages.text: Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
negative_passages.docid: 6483
negative_passages.text: Computing $\int_{0}^{\pi}\ln\left(1-2a\cos x+a^2\right) \, dx$
negative_passages.docid: 135447
negative_passages.text: Compute the integral $\int_0^{\frac\pi2}\frac{\mathrm d \theta}{\sqrt{\sin \theta}}$
negative_passages.docid: 120085
negative_passages.text: Compute $\int \frac{-3}{2x^2-x-1} dx$
negative_passages.docid: 24022
negative_passages.text: Compute $\int _0 ^{2\pi} (\sum_{n=1}^\infty \frac {\cos(nx)}{2^n})^2 dx$
negative_passages.docid: 98838
negative_passages.text: How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
negative_passages.docid: 62450
negative_passages.text: Computing $ \int_0^{2\pi} \frac{1}{a^2\cos^2 t+b^2 \sin^2 t} dt \;; a,b>0$.
negative_passages.docid: 45872
negative_passages.text: Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$
negative_passages.docid: 72039
negative_passages.text: Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$