query: Evaluating $\int_{-1}^{1} \frac{dx}{(e^x+1)(x^2+1)}$
positive_passages.docid: 132383
positive_passages.text: Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$.
negative_passages.docid: 141892
negative_passages.text: How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$
negative_passages.docid: 4971
negative_passages.text: $\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$
negative_passages.docid: 120388
negative_passages.text: Evaluate $\int\frac{1}{1+x^6} \,dx$
negative_passages.docid: 119669
negative_passages.text: Evaluate $\int \frac{1}{\sin x\cos x} dx $
negative_passages.docid: 45872
negative_passages.text: Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$
negative_passages.docid: 67837
negative_passages.text: Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
negative_passages.docid: 104691
negative_passages.text: Integration of $\int_{0}^{1} \frac{x^k}{1-x} dx$
negative_passages.docid: 83325
negative_passages.text: Integral of $\frac{\sqrt{x^2+1}}{x}$
negative_passages.docid: 64743
negative_passages.text: How do I evaluate the integral $\int \frac{1}{x^3 -1}dx$
negative_passages.docid: 58909
negative_passages.text: Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
negative_passages.docid: 39629
negative_passages.text: Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
negative_passages.docid: 154491
negative_passages.text: Evaluate $\int \frac{\sqrt{x^2-1}}{x} \mathrm{d}x$
negative_passages.docid: 44059
negative_passages.text: Evaluating $\int_{-1}^{1}\frac{\arctan{x}}{1+x}\ln{\left(\frac{1+x^2}{2}\right)}dx$
negative_passages.docid: 79466
negative_passages.text: Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
negative_passages.docid: 70013
negative_passages.text: How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
negative_passages.docid: 89499
negative_passages.text: Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$