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(a*Sin[5 + 3*x]^3)/9


Integrate[a*Cos[5 + 3*x]*Sin[5 + 3*x]^2, x] ==
(a*Sin[5 + 3*x]^3)/9



                                     2
Integrate[a Cos[5 + 3 x] Sin[5 + 3 x] , x] == 

              3
a Sin[5 + 3 x]
---------------
       9

Time to compute: 0.02 second

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