# It Takes Two

Calculus Level 4

$\large I=\int_{0}^{1} \int_{0}^{1} \frac{1}{1-xy} \,dx\,dy$

If $$\large \text{cis}(I)$$ can be wirtten in the form $$\large a^{\frac{\pi}{b}}$$ where $$\large a$$ and $$\large b$$ are integers. Find $$\large a+b$$.

Note that $$\text{cis}(I)$$ is the complex exponential function.

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