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

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

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

2 (a + b x) + Sin[2 (a + b x)]
------------------------------
             4 b
Time to compute: 0.04 second
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