query: Solving an Integral With Square Root in the Denominator
positive_passages.docid: 143093
positive_passages.text: Determining k: $\int_{6}^{16} \frac{dx}{\sqrt{x^3 + 7x^2 + 8x - 16}} = \frac{\pi}{k}$
negative_passages.docid: 102156
negative_passages.text: Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
negative_passages.docid: 45803
negative_passages.text: Integral of Derivative squared
negative_passages.docid: 31227
negative_passages.text: Find the indefinite integral $\int {dx \over {(1+x^2) \sqrt{1-x^2}}} $
negative_passages.docid: 40310
negative_passages.text: How to integrate $\frac{1}{\sqrt{1+x^2}}$ using substitution?
negative_passages.docid: 17996
negative_passages.text: Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
negative_passages.docid: 40067
negative_passages.text: Integrating $\int\frac{x^3}{\sqrt{9-x^2}}dx$ via trig substitution
negative_passages.docid: 140122
negative_passages.text: Integral: $\int_0^1\frac{\mathrm{Li}_2(x^2)}{\sqrt{1-x^2}}dx$
negative_passages.docid: 37097
negative_passages.text: Integral $\int \frac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} dx$
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: 143585
negative_passages.text: Solve the integral $\frac 1 {\sqrt {2 \pi t}}\int_{-\infty}^{\infty} x^2 e^{-\frac {x^2} {2t}}dx$
negative_passages.docid: 140638
negative_passages.text: Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
negative_passages.docid: 132452
negative_passages.text: Integral $\int_{\frac{1}{2}}^1 \frac{\ln x}{\sqrt{x^2+1}}dx$
negative_passages.docid: 41416
negative_passages.text: Integrating $ \int_2^4 \frac{ \sqrt{\ln(9-x)} }{ \sqrt{\ln(9-x)}+\sqrt{\ln(x+3)} } 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: 123532
negative_passages.text: An incorrect answer for an integral
negative_passages.docid: 95934
negative_passages.text: How to integrate $\int\frac{1}{\sqrt{1+x^3}}\mathrm dx$?