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(2*a*x + Sin[2*a*x])/(4*a)

Integrate[Cos[a*x]^2, x] ==
(2*a*x + Sin[2*a*x])/(4*a) 

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

2 a x + Sin[2 a x]
------------------
       4 a
Time to compute: < 0.01 second
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