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natural_logarithm_of_real_numbers [2016/09/09 08:28]
nikolaj
natural_logarithm_of_real_numbers [2016/09/09 08:28] (current)
nikolaj
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 $\int_0^{y} \frac {1 } {1+x } {\mathrm d}x = \ln(1+y) $ $\int_0^{y} \frac {1 } {1+x } {\mathrm d}x = \ln(1+y) $
  
-The function $\frac{x}{x-1}\log(x)$ is one without bad behaviours (singularities) on $[0,​\infty)$.+The function $x\mapsto\frac{x}{x-1}\log(x)$ is one without bad behaviours (singularities) on $[0,​\infty)$.
  
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