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Tan[2*a*x]/(2*a)

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

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

Tan[2 a x]
----------
   2 a
Time to compute: < 0.01 second
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