query: Integrate $\int \frac{dx}{(x^2+1)^2}$
positive_passages.docid: 100401
positive_passages.text: Evaluate $\int \frac{1}{(x^2+1)^2}dx$
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: 64743
negative_passages.text: How do I evaluate the integral $\int \frac{1}{x^3 -1}dx$
negative_passages.docid: 86794
negative_passages.text: Integrate $\int \frac{25 - x^2}{x^4} \operatorname d\!x$
negative_passages.docid: 150809
negative_passages.text: Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
negative_passages.docid: 141387
negative_passages.text: Reduction Integration of $I_n=\int{\frac{x^n}{\sqrt{x^2+a^2}} dx}$
negative_passages.docid: 91821
negative_passages.text: Integral of type $\displaystyle \int\frac{1}{\sqrt[4]{x^4+1}}dx$
negative_passages.docid: 24589
negative_passages.text: Integral of $1/(x^2-1)^2$
negative_passages.docid: 38511
negative_passages.text: Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
negative_passages.docid: 59667
negative_passages.text: Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
negative_passages.docid: 90095
negative_passages.text: Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
negative_passages.docid: 119572
negative_passages.text: Finding the integral of $\frac{x}{e^x + 1}$
negative_passages.docid: 123500
negative_passages.text: Integration of $\frac {1}{1+\sin x}$
negative_passages.docid: 88757
negative_passages.text: Calculus 2 integral $\int {\frac{2}{x\sqrt{x+1}}}\, dx$
negative_passages.docid: 152977
negative_passages.text: Integrate $\int\sqrt{x+\sqrt{x^{2}+2}} dx$ .
negative_passages.docid: 117587
negative_passages.text: $\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
negative_passages.docid: 31529
negative_passages.text: Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$