Stranger region

Calculus Level 4

What is the area of the region defined by the following set of inequalities?

\(\begin{array}{cc} (1) &-1 < xy < 1 \\ (2) &-1 < x^2-y^2 < 1 \end{array}\)

If the area is \(A\), give \(\left\lfloor 100A \right\rfloor\).

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