query: Find $\int\ln^{n} x$ .
positive_passages.docid: 25731
positive_passages.text: How to find $\int \ln^nx\space dx$
negative_passages.docid: 70789
negative_passages.text: Integrating $\ln(x)\times\ln(1-x)$
negative_passages.docid: 121071
negative_passages.text: Calculation of $\int^{\pi/2}_{0}\cos^{n}(x)\cos (nx)\,dx$, where $n\in \mathbb{N}$
negative_passages.docid: 144273
negative_passages.text: Find $\lim_{n\to\infty} \frac{1}{n} \int_0^\infty f(x) e^{-a_n x} dx$
negative_passages.docid: 74241
negative_passages.text: Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
negative_passages.docid: 87395
negative_passages.text: Evaluating $\int_{I^n} \left( \min_{1\le i \le n}x_i \right)^{\alpha}\,\, dx$
negative_passages.docid: 122971
negative_passages.text: how to prove that $\ln(1+x)< x$
negative_passages.docid: 27195
negative_passages.text: Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{\mathrm dx}{\ln x}$
negative_passages.docid: 8606
negative_passages.text: Calculate $\int^{n+1}_1 \frac{(\{x\})^{[x]}}{[x]}dx$ where $n\in\mathbb{N}$, $[x]$ is the integer part of $x$ and $\left\{ x\right\} =x-[x]$.
negative_passages.docid: 76400
negative_passages.text: Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
negative_passages.docid: 8289
negative_passages.text: Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
negative_passages.docid: 98838
negative_passages.text: How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
negative_passages.docid: 106087
negative_passages.text: Finding $\lim_{n \to \infty} \int_1^a \frac{n}{1+x^n} \, dx$
negative_passages.docid: 88708
negative_passages.text: An integration of product $(1-x^n)$
negative_passages.docid: 8358
negative_passages.text: Prove $\int_{0}^{\pi/2} \ln \left(x^{2} + (\ln\cos x)^2 \right) \, dx=\pi\ln\ln2 $
negative_passages.docid: 130935
negative_passages.text: Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
negative_passages.docid: 147977
negative_passages.text: Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$