query: A question on indefinite integration.
positive_passages.docid: 129675
positive_passages.text: How to integrate $\int \frac{1}{\sin^4x + \cos^4 x} \,dx$?
negative_passages.docid: 67186
negative_passages.text: Complex analysis integration question
negative_passages.docid: 140638
negative_passages.text: Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
negative_passages.docid: 47498
negative_passages.text: Integration and theorems on continuous functions
negative_passages.docid: 111956
negative_passages.text: Evaluating indefinite integrals of the form $\int \frac{x^2 \,dx}{a x^5 + b}$
negative_passages.docid: 57167
negative_passages.text: A hard problem on exponential integration
negative_passages.docid: 134247
negative_passages.text: Inequality of numerical integration $\int _0^\infty x^{-x}\,dx$.
negative_passages.docid: 114463
negative_passages.text: Indefinite Multiple Integration
negative_passages.docid: 108554
negative_passages.text: Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
negative_passages.docid: 141688
negative_passages.text: Indefinite integral of $ \int \frac{x^3}{\sqrt{x^2+1}} \,\text{d}x$.
negative_passages.docid: 120899
negative_passages.text: Integration with a constant "a": $ \int_0^a \frac1{\sqrt {a^2-x^2}} dx $
negative_passages.docid: 158760
negative_passages.text: How calculate the indefinite integral $\int\frac{1}{x^3+x+1}dx$
negative_passages.docid: 68752
negative_passages.text: A few questions about infinite derivative.
negative_passages.docid: 110438
negative_passages.text: Answer when integrating by partial fractions
negative_passages.docid: 7042
negative_passages.text: Defined integral of $x^{\alpha} (1-x)^{\beta-1}$
negative_passages.docid: 105260
negative_passages.text: How to integrate $\int\sqrt{x^2+1}dx$
negative_passages.docid: 21390
negative_passages.text: How to integrate $\int_0^{\infty} \frac{e^{ax} - e^{bx}}{(1 + e^{ax})(1+ e^{bx})}dx$ where $a,b > 0$.