# Simple Yet Challenging Integral

Calculus Level 3

Evaluate the definite integral $$\displaystyle{\int _{ 0 }^{ \frac{\pi}{4}}{ \ln { (\tan { x+1)\, dx } } } .}$$ The answer must be a decimal in terms of $$\pi$$. For example, if the calculation result is $$2.654\pi,$$ then the answer should be $$2.654$$.

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