query: Integral of $\int \frac{\sqrt{9-x^2}}{x}$
positive_passages.docid: 152697
positive_passages.text: Integration practice of $\int \frac{\sqrt{25-y^2}}{y}dy$
negative_passages.docid: 38515
negative_passages.text: Integral of $\frac{1}{x^4+1}$
negative_passages.docid: 4971
negative_passages.text: $\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$
negative_passages.docid: 82408
negative_passages.text: Integral $\int_{1}^{2011} \frac{\sqrt{x}}{\sqrt{2012 - x} + \sqrt{x}}dx$
negative_passages.docid: 145403
negative_passages.text: Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
negative_passages.docid: 17454
negative_passages.text: Evaluate the integral $\int_0^n \frac{f(x)}{f(x) + f(n-x)}dx $
negative_passages.docid: 140203
negative_passages.text: Find the value of $\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+x^2} dx$ .
negative_passages.docid: 71611
negative_passages.text: Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
negative_passages.docid: 88757
negative_passages.text: Calculus 2 integral $\int {\frac{2}{x\sqrt{x+1}}}\, dx$
negative_passages.docid: 40310
negative_passages.text: How to integrate $\frac{1}{\sqrt{1+x^2}}$ using substitution?
negative_passages.docid: 43506
negative_passages.text: Contour integral of $\sqrt{z^2-1}$ on $|z| = 2$
negative_passages.docid: 89387
negative_passages.text: Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
negative_passages.docid: 130736
negative_passages.text: Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
negative_passages.docid: 24589
negative_passages.text: Integral of $1/(x^2-1)^2$
negative_passages.docid: 104094
negative_passages.text: Integral of $\frac{1}{(1+x^2)^2}$
negative_passages.docid: 6571
negative_passages.text: A Challenging Integral $\int_0^{\frac{\pi}{2}}\log \left( x^2+\log^2(\cos x)\right)dx$
negative_passages.docid: 145907
negative_passages.text: How do you evaluate this integral $\int \frac{6x^{3}+7x^2-12x+1}{\sqrt{x^2+4x+6}}dx$