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(3*Sin[a + b*x])/(4*b) + Sin[3*(a + b*x)]/(12*b)

Integrate[Cos[a + b*x]^3, x] ==
(3*Sin[a + b*x])/(4*b) + Sin[3*(a + b*x)]/(12*b) 

                      3
Integrate[Cos[a + b x] , x] == 

3 Sin[a + b x]   Sin[3 (a + b x)]
-------------- + ----------------
     4 b               12 b
Time to compute: 0.01 second
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