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Evaluate the definite integral ∫0π4ln(tanx+1) dx.\displaystyle{\int _{ 0 }^{ \frac{\pi}{4}}{ \ln { (\tan { x+1)\, dx } } } .}∫04πln(tanx+1)dx. The answer must be a decimal in terms of π\piπ. For example, if the calculation result is 2.654π,2.654\pi,2.654π, then the answer should be 2.6542.6542.654.
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