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(12*(b + a*x) + 8*Sin[2*(b + a*x)] + Sin[4*(b + a*x)])/(32*a)

Integrate[Cos[b + a*x]^4, x] ==
(12*(b + a*x) + 8*Sin[2*(b + a*x)] + Sin[4*(b + a*x)])/(32*a) 

                      4
Integrate[Cos[b + a x] , x] == 

12 (b + a x) + 8 Sin[2 (b + a x)] + Sin[4 (b + a x)]
----------------------------------------------------
                        32 a
Time to compute: 0.10 second
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