# A calculus problem by Jonathan Schirmer

Calculus Level 4

The following can be expressed as $$\frac{\pi+\ln{a/b}}{c}$$ where $$a$$ and $$b$$ are coprime positive integers:

$\int^{\frac{\pi}{4}}_0 \frac{dx}{2+\tan{x}}$

What is the value of $$a+b+c$$?

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