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

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

                7
Integrate[Cos[x] , x] == 

35 Sin[x]   7 Sin[3 x]   7 Sin[5 x]   Sin[7 x]
--------- + ---------- + ---------- + --------
   64           64          320         448
Time to compute: < 0.01 second
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