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(a*Sec[x/a]^2)/2


Integrate[Sec[x/a]^2*Tan[x/a], x] ==
(a*Sec[x/a]^2)/2



              x 2     x
Integrate[Sec[-]  Tan[-], x] == 
              a       a

      x 2
a Sec[-]
      a
---------
    2

Time to compute: < 0.01 second

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