query: On the integral $\int_{0}^{1} \frac{\mathrm{d}x}{\sqrt{3x^4+2x^2+3}}$
positive_passages.docid: 24832
positive_passages.text: Integrating $\frac{1}{\sqrt{ax^2+bx+c}}$ for $a<0$
negative_passages.docid: 108396
negative_passages.text: Integral $\int_0^{\infty} \frac{\log x}{\cosh^2x} \ \mathrm{d}x = \log\frac {\pi}4- \gamma$
negative_passages.docid: 112778
negative_passages.text: Let $f(x) = x^3-\frac{3}{2}x^2+x+\frac{1}{4}.$ Then the value of $ \int^{3/4}_{1/4}f(f(x))\mathrm dx$
negative_passages.docid: 50735
negative_passages.text: The integral $\int_0^8 \sqrt{x^4+4x^2}\,dx$
negative_passages.docid: 140122
negative_passages.text: Integral: $\int_0^1\frac{\mathrm{Li}_2(x^2)}{\sqrt{1-x^2}}dx$
negative_passages.docid: 13978
negative_passages.text: Calculating the integral $\int_0^\infty \frac{\cos x}{1+x^2}\, \mathrm{d}x$ without using complex analysis
negative_passages.docid: 132452
negative_passages.text: Integral $\int_{\frac{1}{2}}^1 \frac{\ln x}{\sqrt{x^2+1}}dx$
negative_passages.docid: 31063
negative_passages.text: Evaluating $\int_0^2(\tan^{-1}(\pi x)-\tan^{-1} x)\,\mathrm{d}x$
negative_passages.docid: 49944
negative_passages.text: Integral $\int_1^3 \frac{\log x}{x^2+3}dx$
negative_passages.docid: 112621
negative_passages.text: Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$
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: 15569
negative_passages.text: Integral of the form $\int_0^\infty \exp{\left(-\frac{(a+bx)^2}{x}\right)}\frac{dx}{\sqrt{x^3}}$
negative_passages.docid: 151649
negative_passages.text: Exact Values of the integal $\int_0^\infty \frac{r^{n-1}}{(1+r^2)^{\frac{s}{2}}}\,dr$
negative_passages.docid: 155422
negative_passages.text: Evaluating $\int_{0}^{\frac{\pi}{2}}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}\, \mathrm{d}x$
negative_passages.docid: 63016
negative_passages.text: Integration of $\int\frac{1}{x^{4}+1}\mathrm dx$
negative_passages.docid: 91821
negative_passages.text: Integral of type $\displaystyle \int\frac{1}{\sqrt[4]{x^4+1}}dx$
negative_passages.docid: 123694
negative_passages.text: How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$