The Logarithmic Reciprocal

Calculus Level 2

  10×2e ⁣1ln(x)dx  = ?\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: e2.718e \approx 2.718, and ln(2)0.693\ln(2) \approx 0.693, and use the following graph of f(x)=1ln(x)f(x)= \frac {1}{\ln(x)}.
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