# Natural log cabin

Calculus Level 5

$\mathscr{E} = \displaystyle \int_{0}^{1} \ln(c) \ln(1-c) \, dc$

If $$\mathscr{E}$$ can be represented in the form $$a - \dfrac{\pi^{b}}{d}$$, where $$a, b, d$$ are positive integers, find $$a + b + d$$.

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