# The Logarithmic Reciprocal

Calculus Level 2

$\bigg \lfloor \;10 \times \displaystyle \int_2^e \! \frac {1}{\ln(x)} \, \mathrm{d}x\;\bigg \rfloor = \ ?$

Details and Assumptions:

• You may use the following approximations: $$e \approx 2.718$$, and $$\ln(2) \approx 0.693$$, and use the following graph of $$f(x)= \frac {1}{\ln(x)}$$.
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