摘要:$$\Large\displaystyle \int_0^\infty\frac{\ln\left(1+x+\sqrt{x^2+2\,x}\right)\,\ln\left(1+\sqrt{x^2+2\,x+2}\right)}{x^2+2x+1}\mathrm dx$$ $\Large\mathb 阅读全文
posted @ 2016-05-14 21:52 Renascence_5 阅读(298) 评论(0) 推荐(0) 编辑
摘要:$$\Large\displaystyle\int_0^\infty\frac{\ln\left(\displaystyle\frac{1+x^{4+\sqrt{15\vphantom{\large A}}}}{1+x^{2+\sqrt{3\vphantom{\large A}}}}\right)} 阅读全文
posted @ 2016-05-14 21:43 Renascence_5 阅读(540) 评论(0) 推荐(0) 编辑
摘要:$$\Large\displaystyle \int_0^1\frac{\ln x\ln^2(1+x)}{x}\ \mathrm dx$$ $\Large\mathbf{Solution:}$ $$\begin{align } \int_0^1\frac{\ln x\ln^2(1+x)}{x}\ \ 阅读全文
posted @ 2016-05-14 20:44 Renascence_5 阅读(1063) 评论(0) 推荐(0) 编辑