# I'm bored

Calculus Level pending

The integral $$\int _{0}^{ -\ln {2 }}{ \frac { dx }{ 8e^x + 2e^{-x} } }$$ can be expressed as $$\frac { \alpha \arctan { (\frac { \beta }{ \gamma })- \pi } }{ \delta }$$ where $$\alpha$$, $$\beta$$, $$\gamma$$, $$\delta$$ are all positive integers and $$\beta$$ and $$\gamma$$ are coprime.

Find the value of $$\alpha + \beta + \gamma + \delta$$

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