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x + Log[Cos[2*x] - Sin[2*x]]/2 - Log[Cos[2*x] + Sin[2*x]]/2 + Tan[4*x]/4

Integrate[(-1 + Sec[4*x])^2, x] ==
x + Log[Cos[2*x] - Sin[2*x]]/2 - Log[Cos[2*x] + Sin[2*x]]/2 + Tan[4*x]/4 

                         2
Integrate[(-1 + Sec[4 x]) , x] == 

    Log[Cos[2 x] - Sin[2 x]]
x + ------------------------ - 
               2
 
  Log[Cos[2 x] + Sin[2 x]]   Tan[4 x]
  ------------------------ + --------
             2                  4
Time to compute: 0.03 second
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