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(-5*Cos[b + a*x])/(8*a) + (5*Cos[3*(b + a*x)])/(48*a) - Cos[5*(b + a*x)]/(80*a)


Integrate[Sin[b + a*x]^5, x] ==
(-5*Cos[b + a*x])/(8*a) + (5*Cos[3*(b + a*x)])/ (48*a) - Cos[5*(b + a*x)]/(80*a)



                      5
Integrate[Sin[b + a x] , x] == 

-5 Cos[b + a x]   5 Cos[3 (b + a x)]
--------------- + ------------------ - 
      8 a                48 a
 
  Cos[5 (b + a x)]
  ----------------
        80 a

Time to compute: 0.02 second

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