query: How to solve for integral $\int \frac{dx}{\left(x^2+4\right)^2}$
positive_passages.docid: 104094
positive_passages.text: Integral of $\frac{1}{(1+x^2)^2}$
negative_passages.docid: 6014
negative_passages.text: Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
negative_passages.docid: 99033
negative_passages.text: How to solve the definite integral $\int_{-4}^{-2}e^{-x}\,dx$?
negative_passages.docid: 8358
negative_passages.text: Prove $\int_{0}^{\pi/2} \ln \left(x^{2} + (\ln\cos x)^2 \right) \, dx=\pi\ln\ln2 $
negative_passages.docid: 91821
negative_passages.text: Integral of type $\displaystyle \int\frac{1}{\sqrt[4]{x^4+1}}dx$
negative_passages.docid: 68821
negative_passages.text: Prove $\int_0^{\infty} \left(\sqrt{1+x^{4}}-x^{2}\right)\ dx=\frac{\Gamma^{2}\left(\frac{1}{4}\right)}{6\sqrt{\pi}}$
negative_passages.docid: 83325
negative_passages.text: Integral of $\frac{\sqrt{x^2+1}}{x}$
negative_passages.docid: 106878
negative_passages.text: How to integrate $\int \frac{e^x dx}{1\,+\,e^{2x}}$
negative_passages.docid: 32312
negative_passages.text: Evaluating the integral $\int \frac{x^2+x}{(e^x+x+1)^2}dx$
negative_passages.docid: 142682
negative_passages.text: Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
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: 48233
negative_passages.text: Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
negative_passages.docid: 122361
negative_passages.text: Evaluate $\int_0^1\left(\frac{1}{\ln x} + \frac{1}{1-x}\right)^2 \mathrm dx$
negative_passages.docid: 100401
negative_passages.text: Evaluate $\int \frac{1}{(x^2+1)^2}dx$
negative_passages.docid: 83801
negative_passages.text: Finding $\int \frac {dx}{\sqrt {x^2 + 16}}$
negative_passages.docid: 53519
negative_passages.text: Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
negative_passages.docid: 117101
negative_passages.text: Integrate $\int \frac{dx}{\sqrt{-ax^2 + bx +c}} $