# Definite Logarithm

Calculus Level 4

$\large \displaystyle\int_0^1 \ln\left(\sqrt{1-x} + \sqrt{1+x}\ \right)\ \mathrm{d}x= \dfrac{1}{A}\ln(B) - \dfrac{1}{C} + \dfrac{\pi}{D}$

If $$A,B,C,D$$ are positive integers, where $$B$$ is not a perfect power, evaluate $$A+B+C+D$$.

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