query: Smart way to Integrate $\int \dfrac{dx}{1+x^4}$
positive_passages.docid: 11757
positive_passages.text: How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$?
negative_passages.docid: 105260
negative_passages.text: How to integrate $\int\sqrt{x^2+1}dx$
negative_passages.docid: 145183
negative_passages.text: finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
negative_passages.docid: 130736
negative_passages.text: Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
negative_passages.docid: 145403
negative_passages.text: Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
negative_passages.docid: 86794
negative_passages.text: Integrate $\int \frac{25 - x^2}{x^4} \operatorname d\!x$
negative_passages.docid: 81914
negative_passages.text: Integrating $\int_0^1 \frac {\log(1-x)\log^2(1+x)}x \mathrm{d}x$
negative_passages.docid: 40310
negative_passages.text: How to integrate $\frac{1}{\sqrt{1+x^2}}$ using substitution?
negative_passages.docid: 15185
negative_passages.text: Simplest way to integrate $\int \frac{1}{1+\tan x}dx,$
negative_passages.docid: 31964
negative_passages.text: Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
negative_passages.docid: 123767
negative_passages.text: How to integrate $\int \frac{1}{\cos(x)}\,\mathrm dx$
negative_passages.docid: 58909
negative_passages.text: Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
negative_passages.docid: 138968
negative_passages.text: how to integrate $\frac{1}{\sqrt{e^{2x}+e^x+1}}$
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: 71611
negative_passages.text: Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
negative_passages.docid: 67608
negative_passages.text: Integration of $1/(x^2+x\sqrt{x})$
negative_passages.docid: 45872
negative_passages.text: Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$