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(35*Sin[b + a*x])/(64*a) + (7*Sin[3*(b + a*x)])/(64*a) + (7*Sin[5*(b + a*x)])/(320*a) + Sin[7*(b + a*x)]/(448*a)


Integrate[Cos[b + a*x]^7, x] ==
(35*Sin[b + a*x])/(64*a) + (7*Sin[3*(b + a*x)])/ (64*a) + (7*Sin[5*(b + a*x)])/(320*a) + Sin[7*(b + a*x)]/(448*a)



                      7
Integrate[Cos[b + a x] , x] == 

35 Sin[b + a x]   7 Sin[3 (b + a x)]
--------------- + ------------------ + 
     64 a                64 a
 
  7 Sin[5 (b + a x)]   Sin[7 (b + a x)]
  ------------------ + ----------------
        320 a               448 a

Time to compute: 0.01 second

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