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-(Cos[a*x]^(1 + m)/(a*(1 + m)))


Integrate[Cos[a*x]^m*Sin[a*x], x] ==
-(Cos[a*x]^(1 + m)/(a*(1 + m)))



                  m
Integrate[Cos[a x]  Sin[a x], x] == 

          1 + m
  Cos[a x]
-(-------------)
    a (1 + m)

Time to compute: 0.03 second

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