query: Integral $\int \frac{dx}{x^4+1}$
positive_passages.docid: 88670
positive_passages.text: Evaluating $\int \frac{1}{{x^4+1}} dx$
negative_passages.docid: 18732
negative_passages.text: How do I evaluate $\int \frac{\mathrm{d}x}{e^x + 1} $?
negative_passages.docid: 150809
negative_passages.text: Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
negative_passages.docid: 82311
negative_passages.text: Computing the primitive $\int\frac{1}{1+x^n} dx$
negative_passages.docid: 156215
negative_passages.text: Integral $\int\frac{2x^2}{2x\cos(2x)+(x^2-1)\sin(2x)} \mathrm d x$
negative_passages.docid: 123500
negative_passages.text: Integration of $\frac {1}{1+\sin x}$
negative_passages.docid: 158760
negative_passages.text: How calculate the indefinite integral $\int\frac{1}{x^3+x+1}dx$
negative_passages.docid: 47452
negative_passages.text: Calculus Question: $\int_0^1\frac{(x-x^2)^4}{1+x^2}dx$
negative_passages.docid: 147977
negative_passages.text: Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
negative_passages.docid: 123767
negative_passages.text: How to integrate $\int \frac{1}{\cos(x)}\,\mathrm dx$
negative_passages.docid: 46217
negative_passages.text: A nasty indefinite integral $ \int \frac{1}{x(x+1)(x+2)(x+3)(x+4) ... (x+m)} dx $
negative_passages.docid: 45841
negative_passages.text: integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?
negative_passages.docid: 157931
negative_passages.text: Contour integration of $\int \frac{dx} {(1+x^2)^{n+1}}$
negative_passages.docid: 45872
negative_passages.text: Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$
negative_passages.docid: 105260
negative_passages.text: How to integrate $\int\sqrt{x^2+1}dx$
negative_passages.docid: 11757
negative_passages.text: How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$?
negative_passages.docid: 116219
negative_passages.text: How can I find  $\int\frac1{\sqrt[4]{1+x^4}}\mathrm dx$?