query: How to integrate $\int \frac{ev+f}{av^2 + bv +c} dv$?
positive_passages.docid: 69917
positive_passages.text: Integration of elementary rational fractions
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: 100485
negative_passages.text: How do I evaluate the integral $\int_0^{\infty}\frac{x^5\sin(x)}{(1+x^2)^3}dx$?
negative_passages.docid: 126576
negative_passages.text: Most efficient way to integrate $\int_0^\pi \sqrt{4\sin^2 x - 4\sin x + 1}\,dx$?
negative_passages.docid: 17115
negative_passages.text: Please tell me how to evaluate this integral.
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: 109639
negative_passages.text: complex integration, how to evaluate it?
negative_passages.docid: 86794
negative_passages.text: Integrate $\int \frac{25 - x^2}{x^4} \operatorname d\!x$
negative_passages.docid: 18672
negative_passages.text: Integrate $\int_{0}^{\pi}{\frac{x\cos{x}}{1+\sin^{2}{x}}dx}$
negative_passages.docid: 31529
negative_passages.text: Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$
negative_passages.docid: 2411
negative_passages.text: Integrate $\int_0^{\pi/2} \frac{1}{1+\tan^\alpha{x}}\,\mathrm{d}x$
negative_passages.docid: 90095
negative_passages.text: Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
negative_passages.docid: 11757
negative_passages.text: How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$?
negative_passages.docid: 105260
negative_passages.text: How to integrate $\int\sqrt{x^2+1}dx$
negative_passages.docid: 81533
negative_passages.text: Integrating $\int_1^2 \int_0^ \sqrt{2x-x^2} \frac{1}{((x^2+y^2)^2} dydx $ in polar coordinates
negative_passages.docid: 71742
negative_passages.text: integrate $\int_0^{2\pi} e^{\cos \theta} \cos( \sin \theta) d\theta$
negative_passages.docid: 145403
negative_passages.text: Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$