query: Evaluate $\int \frac{dx}{(x^2-x+1)\sqrt{x^2+x+1}}$
positive_passages.docid: 145590
positive_passages.text: Compute the integral $\int\frac{dx}{(x^2-x+1)\sqrt{x^2+x+1}}$
negative_passages.docid: 88670
negative_passages.text: Evaluating $\int \frac{1}{{x^4+1}} dx$
negative_passages.docid: 71611
negative_passages.text: Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
negative_passages.docid: 88368
negative_passages.text: Evaluating $\int_0^1 \sqrt{1 + x ^4 } \, d x $
negative_passages.docid: 119725
negative_passages.text: How would one evaluate $\int\frac{x\sin(x)}{x^2+1}$ over the real line?
negative_passages.docid: 118701
negative_passages.text: Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$
negative_passages.docid: 70013
negative_passages.text: How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
negative_passages.docid: 88757
negative_passages.text: Calculus 2 integral $\int {\frac{2}{x\sqrt{x+1}}}\, dx$
negative_passages.docid: 51216
negative_passages.text: Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
negative_passages.docid: 27002
negative_passages.text: Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
negative_passages.docid: 39629
negative_passages.text: Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
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: 31964
negative_passages.text: Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
negative_passages.docid: 38511
negative_passages.text: Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
negative_passages.docid: 72179
negative_passages.text: How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
negative_passages.docid: 117587
negative_passages.text: $\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
negative_passages.docid: 91821
negative_passages.text: Integral of type $\displaystyle \int\frac{1}{\sqrt[4]{x^4+1}}dx$