query: Evaluation of $\displaystyle \int \sec^3 (x)dx$
positive_passages.docid: 44501
positive_passages.text: Indefinite integral of secant cubed
negative_passages.docid: 3343
negative_passages.text: Integration of secant
negative_passages.docid: 150843
negative_passages.text: Evaluation of $\int_0^{\pi/4} \sqrt{\tan x} \sqrt{1-\tan x}\,\,dx$
negative_passages.docid: 91212
negative_passages.text: Evaluate $\int \cos^3 x\;\sin^2 xdx$
negative_passages.docid: 63988
negative_passages.text: General formula for evaluating integrals of the form $\displaystyle\int_0^\infty x^ae^{-bx}dx$
negative_passages.docid: 64860
negative_passages.text: Evaluation of $\lim\limits_{x\rightarrow0} \frac{\tan(x)-x}{x^3}$
negative_passages.docid: 87409
negative_passages.text: Integral $\int\csc^3{x} \ dx$
negative_passages.docid: 130058
negative_passages.text: Evaluate $\int_0^{\pi} e^{a\cos(t)}\cos(a\sin t)dt$
negative_passages.docid: 16712
negative_passages.text: Evaluate $\int_{-\pi/4}^{\pi/4}(\cos(t)+\sqrt{1+t^2}\cos(t)^3\sin (t)^3)dt$
negative_passages.docid: 68504
negative_passages.text: Compute $\int_0^1 \frac{\arcsin(x)}{x}dx$
negative_passages.docid: 103310
negative_passages.text: Evaluation of the following expression
negative_passages.docid: 81057
negative_passages.text: Evaluation of $\int_{\frac{1}{e}}^{\tan x}\frac{t}{1+t^2}dt+\int_{\frac{1}{e}}^{\cot x}\frac{1}{t(1+t^2)}dt$
negative_passages.docid: 100194
negative_passages.text: Calculating $ \int _{0} ^{\infty} \frac{x^{3}}{e^{x}-1}\;dx$
negative_passages.docid: 109385
negative_passages.text: Evaluating the integral $\int_{-\ln 2}^{\ln 2} e^{-x}(\sin x+x)^{1/3}dx$
negative_passages.docid: 12604
negative_passages.text: Evaluate $\int_0^\pi xf(\sin x)dx$
negative_passages.docid: 147977
negative_passages.text: Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
negative_passages.docid: 120085
negative_passages.text: Compute $\int \frac{-3}{2x^2-x-1} dx$