query: Integrating Factor of $(axy^2+by)dx+(bx^2y+ax)dy=0$.
positive_passages.docid: 142460
positive_passages.text: Exact Differential Equations $(axy^2+by)dx+(bx^2y+ax)dy=0$.
negative_passages.docid: 26287
negative_passages.text: Find $\frac{a^2}{2a^2+bc}+\frac{b^2}{2b^2+ac}+\frac{c^2}{2c^2+ab}$ if $a+b+c=0$
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: 18702
negative_passages.text: If $ax^2+(c+b)x+e+d=0$ has real roots greater than $1$, show that $ax^4+bx^3+cx^2+dx+e$ has at least one real root
negative_passages.docid: 16406
negative_passages.text: Step-by-step definite integration
negative_passages.docid: 152977
negative_passages.text: Integrate $\int\sqrt{x+\sqrt{x^{2}+2}} dx$ .
negative_passages.docid: 135519
negative_passages.text: How to approach solving $\int_0^{\pi/2} \ln(a^2 \cos^2 x +b^2 \sin^2 x ) dx$
negative_passages.docid: 115509
negative_passages.text: Integral $\int\frac{dy}{(y^2 + ay + b)^{3/2}}$
negative_passages.docid: 67326
negative_passages.text: How to solve $ \int \limits _0 ^{2\pi} \dfrac{dx}{(\alpha +\beta\cos x)^2} $
negative_passages.docid: 123724
negative_passages.text: Solve $(y')^2 - xy' + y = 0$
negative_passages.docid: 53518
negative_passages.text: Integrating : $\int_0^1 {\frac {x^a-x^b} {\ln x} dx}$
negative_passages.docid: 34967
negative_passages.text: Compute $ \int_{0}^{ \infty }\frac{\ln xdx}{x^{2}+ax+b}$
negative_passages.docid: 129892
negative_passages.text: show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$
negative_passages.docid: 96436
negative_passages.text: About integrating $\sin^2 x$ by parts
negative_passages.docid: 109699
negative_passages.text: How to factor$ x^2+2xy+y^2 $
negative_passages.docid: 30030
negative_passages.text: An integration question to be solved without using differentiation under the integral sign.
negative_passages.docid: 110343
negative_passages.text: Integrating $\rm x^ae^{-bx}$.