query: Integrating $\sec^{3}\theta$ .
positive_passages.docid: 44501
positive_passages.text: Indefinite integral of secant cubed
negative_passages.docid: 117113
negative_passages.text: Integration of $x^2 \sin(x)$ by parts
negative_passages.docid: 125735
negative_passages.text: How do I evaluate $\int_{1/3}^3 \frac{\arctan x}{x^2 - x + 1} \; dx$?
negative_passages.docid: 71777
negative_passages.text: Integrate Form $du / (a^2 + u^2)^{3/2}$
negative_passages.docid: 25489
negative_passages.text: Evaluate the Integral: $\int e^{2\theta}\ \sin 3\theta\ d\theta$
negative_passages.docid: 80319
negative_passages.text: Integrate: $\int (x^2+a^2)^{-3/2} \cdot dx$
negative_passages.docid: 27910
negative_passages.text: How to evaluate $\int_0^{2\pi} \frac{d\theta}{A+B\cos\theta}$?
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: 116778
negative_passages.text: Calculation of an integral via residue.
negative_passages.docid: 61443
negative_passages.text: So close yet so far Finding $\int \frac {\sec x \tan x}{3x+5} dx$
negative_passages.docid: 154185
negative_passages.text: Evaluate $\iiint_{[0,1]^3}\frac{dx\,dy\,dz}{(1+x^2+y^2+z^2)^2}$
negative_passages.docid: 8225
negative_passages.text: Calculating the integral $\int_{1/3}^{3}\frac{\arctan(x)}{x^2-x+1}\;\mathrm{d}x$
negative_passages.docid: 51787
negative_passages.text: Evaluate $\int \cos(3x) \sin(2x) \, dx$.
negative_passages.docid: 39697
negative_passages.text: Integration of $e^{ax}\cos bx$ and $e^{ax}\sin bx$
negative_passages.docid: 110343
negative_passages.text: Integrating $\rm x^ae^{-bx}$.
negative_passages.docid: 19402
negative_passages.text: Find integral solution of $a^{b} - b^{a} = 3$
negative_passages.docid: 58947
negative_passages.text: Integral of $\int\sin^{3}xdx$