query: Calculate the integral $\int \frac{2-3x}{2+3x} \sqrt{\frac{1+x}{1-x}}dx$
positive_passages.docid: 147479
positive_passages.text: Evaluate $\int \frac{2-3x}{2+3x}\sqrt\frac{1+x}{1-x}dx$
negative_passages.docid: 53519
negative_passages.text: Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
negative_passages.docid: 38511
negative_passages.text: Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
negative_passages.docid: 117101
negative_passages.text: Integrate $\int \frac{dx}{\sqrt{-ax^2 + bx +c}} $
negative_passages.docid: 100194
negative_passages.text: Calculating $ \int _{0} ^{\infty} \frac{x^{3}}{e^{x}-1}\;dx$
negative_passages.docid: 67263
negative_passages.text: Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
negative_passages.docid: 8642
negative_passages.text: Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $
negative_passages.docid: 49944
negative_passages.text: Integral $\int_1^3 \frac{\log x}{x^2+3}dx$
negative_passages.docid: 67608
negative_passages.text: Integration of $1/(x^2+x\sqrt{x})$
negative_passages.docid: 9653
negative_passages.text: Evaluate the integral $\int^{\frac{\pi}{2}}_0 \frac{\sin^3x}{\sin^3x+\cos^3x}\,\mathrm dx$.
negative_passages.docid: 88757
negative_passages.text: Calculus 2 integral $\int {\frac{2}{x\sqrt{x+1}}}\, dx$
negative_passages.docid: 79633
negative_passages.text: Calculating the integral $\int_{-\infty}^{\infty} x\sin(x)/(x^2+1)^2 dx$
negative_passages.docid: 45872
negative_passages.text: Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$
negative_passages.docid: 144811
negative_passages.text: Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
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: 51489
negative_passages.text: Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach
negative_passages.docid: 145403
negative_passages.text: Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$