奇妙的微积分 - johanzumimvon/Johan-zumimvon-Christianity GitHub Wiki

黑色

y= $\sqrt{1+\frac{1}{x}}$

蓝紫色

$\int \sqrt{1+\frac{1}{x}}=x\sqrt{1+\frac{1}{x}}+\frac{\ln(|\sqrt{1+\frac{1}{x}}+1|)-\ln(|\sqrt{1+\frac{1}{x}}-1|)}{2}$

y=ln[|ln(x)|]

$y'=\frac{1}{x\ln(x)}$

y=ln[|ln(x)|]

0.26149721284764278375542683860869585

N以内的质数的倒数之和的近似式

∑ₙ=ln ln N +0.26149721284764278375542683860869585