query: Integrating $\ln(\tan^2(x) + 1)$
positive_passages.docid: 27790
positive_passages.text: Evaluating $\int_0^{\large\frac{\pi}{4}} \log\left( \cos x\right) \, \mathrm{d}x $
negative_passages.docid: 109416
negative_passages.text: How to calculate $\int_0^1 \frac{\ln(1-x)}{x} dx$?
negative_passages.docid: 34855
negative_passages.text: Evaluate the integral: $\int_{0}^{1} \frac{\ln(x+1)}{x^2+1} \mathrm dx$
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: 54638
negative_passages.text: Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
negative_passages.docid: 70789
negative_passages.text: Integrating $\ln(x)\times\ln(1-x)$
negative_passages.docid: 27195
negative_passages.text: Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{\mathrm dx}{\ln x}$
negative_passages.docid: 17996
negative_passages.text: Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
negative_passages.docid: 109790
negative_passages.text: Finding the value of $\int_0^{\pi/2} \frac{dt}{1+(\tan(x))^{\sqrt{2}}}$
negative_passages.docid: 101289
negative_passages.text: Studying the equation $\ln(x)- 1+ x^2=0$
negative_passages.docid: 123802
negative_passages.text: Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
negative_passages.docid: 117446
negative_passages.text: calculation of $\int_{0}^{1}\tan^{-1}(1-x+x^2)dx$
negative_passages.docid: 138914
negative_passages.text: Reduction formula for $\int \tan^n x dx$
negative_passages.docid: 138174
negative_passages.text: Integral $\int_0^1 \frac{x\ln\left(\frac{1+x}{1-x}\right)}{\left(\pi^2+\ln^2\left(\frac{1+x}{1-x}\right)\right)^2}dx$
negative_passages.docid: 139784
negative_passages.text: Computing integration $\int_0^1\frac{\ln x}{1-x}d x$
negative_passages.docid: 115992
negative_passages.text: Integrating $\frac{\log(1+x)}{1+x^2}$
negative_passages.docid: 5034
negative_passages.text: A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$