query: Find Value of $\int _{0}^{\frac{\pi}{4}} \sqrt{\tan x}{\sqrt{1-\tan x}}\,\mathrm dx$
positive_passages.docid: 150843
positive_passages.text: Evaluation of $\int_0^{\pi/4} \sqrt{\tan x} \sqrt{1-\tan x}\,\,dx$
negative_passages.docid: 138230
negative_passages.text: Evaluate $ \int^{\frac{\pi}{2}}_0 \frac{\sin x}{\sin x+\cos x}\,dx $ using substitution $t=\frac{\pi}{2}-x$
negative_passages.docid: 6830
negative_passages.text: Find $\int\frac1x\sqrt\frac{1-x}{1+x}\ dx$
negative_passages.docid: 95403
negative_passages.text: Evaluating $\int \frac{\sec^2 x}{(\sec x + \tan x )^{{9}/{2}}}\,\mathrm dx$
negative_passages.docid: 91333
negative_passages.text: How to find $\int_{0}^{1}\dfrac{\ln^2{x}\ln^2{(1-x)}}{2-x}dx$
negative_passages.docid: 92176
negative_passages.text: Solving $\lim_{n\to\infty}(n\int_0^{\pi/4}(\tan x)^ndx)$?
negative_passages.docid: 116219
negative_passages.text: How can I find  $\int\frac1{\sqrt[4]{1+x^4}}\mathrm dx$?
negative_passages.docid: 147641
negative_passages.text: How to evaluate $\int \frac { \sin x+\cos x }{ \sin^4 x+\cos^4x}\, dx$?
negative_passages.docid: 42279
negative_passages.text: Evaluating the indefinite integral $ \int \sqrt{\tan x} ~ \mathrm{d}{x}. $
negative_passages.docid: 136385
negative_passages.text: Integrate $ \int_{0}^{\frac{\pi}{4}}\tan^{-1}\left(\frac{\sqrt{2}\cos3 \phi}{\left(2\cos 2 \phi+ 3\right)\sqrt{\cos 2 \phi}}\right)d\phi$
negative_passages.docid: 47206
negative_passages.text: $-1 = 0$ by integration by parts of $\tan(x)$
negative_passages.docid: 125069
negative_passages.text: Help with $\int \frac 1{\sqrt{a^2 - x^2}} \mathrm dx$
negative_passages.docid: 49489
negative_passages.text: Compute $\lim_{n\to\infty} \int_{0}^{\pi/4}\tan^n x \ dx$
negative_passages.docid: 154491
negative_passages.text: Evaluate $\int \frac{\sqrt{x^2-1}}{x} \mathrm{d}x$
negative_passages.docid: 18672
negative_passages.text: Integrate $\int_{0}^{\pi}{\frac{x\cos{x}}{1+\sin^{2}{x}}dx}$
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: 29322
negative_passages.text: Evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\sin^2 nx}{\sin x} \text{d}x$