# Tricky Integrals [Part 1]

Calculus Level 4

$\large \int _{ 0 }^{ { \pi }/{ 4 } }{ \ln { \left( \tan { x } +1 \right) } }~ {dx}$

If the integral above is equal to $$\dfrac{\pi}{A}\ln{B}$$, where $$A$$ and $$B$$ are integers and $$B$$ is prime, find $${A}^{B}$$.

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