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-(Log[Cos[(a*x)/2] - Sin[(a*x)/2]]/a) + Log[Cos[(a*x)/2] + Sin[(a*x)/2]]/a


Integrate[Sec[a*x], x] ==
-(Log[Cos[(a*x)/2] - Sin[(a*x)/2]]/a) + Log[Cos[(a*x)/2] + Sin[(a*x)/2]]/a



Integrate[Sec[a x], x] == 

          a x        a x              a x        a x
  Log[Cos[---] - Sin[---]]    Log[Cos[---] + Sin[---]]
           2          2                2          2
-(------------------------) + ------------------------
             a                           a

Time to compute: 0.01 second

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