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

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

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

          a   b x        a   b x
  Log[Cos[- + ---] - Sin[- + ---]]
          2    2         2    2
-(--------------------------------) + 
                 b
 
          a   b x        a   b x
  Log[Cos[- + ---] + Sin[- + ---]]
          2    2         2    2
  --------------------------------
                 b
Time to compute: 0.02 second
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