Answer
=$1$
This is a probability density
Work Step by Step
$\int^\frac{\ln(1+\ln2)}{\ln2}_02^xdx$
=$\frac{2^x}{\ln2}]^\frac{\ln(1+\ln2)}{\ln2}_0$
=$[\frac{1+\ln2}{\ln2}-\frac{1}{\ln2}]$=$1$
This is a probability density
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