Think beyond this unit box

Calculus Level 5

\[\large V =\int_1^2 \int_1^2 \int_1^2 f(x,y,z) \ln \left( 1 + \frac{1}{1 + f(x,y,z)} \right) \text{ d}x \text{ d}y \text{ d}z \]

where \(\displaystyle f(x,y,z) = x + y + z \).

Evaluate \(\displaystyle \lfloor 100(2V - 1) \rfloor \).

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