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-(Log[Cosh[2^(1 - x)]]/Log[4])

Integrate[Tanh[2^(1 - x)]/2^x, x] ==
-(Log[Cosh[2^(1 - x)]]/Log[4]) 

                1 - x
          Tanh[2     ]
Integrate[------------, x] == 
                x
               2

            1 - x
  Log[Cosh[2     ]]
-(-----------------)
       Log[4]
Time to compute: 0.02 second
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