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I've heard that there is some sort of formula where: $$\int_1^ef(x) dx=1$$

my question is: what is $f(x)$, and did i write the formula correctly?(i'm new here)

$$e= 2.718...$$

Alexander Day
  • 885

1 Answers1

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There is more than one possibility. Two that come to mind are:

$f(x)=\frac{1}{e-1}$;

or (more likely what you are thinking of): $f(x)=\frac1x$

paw88789
  • 40,402