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


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



                7
Integrate[Sin[x] , x] == 

-35 Cos[x]   7 Cos[3 x]   7 Cos[5 x]   Cos[7 x]
---------- + ---------- - ---------- + --------
    64           64          320         448

Time to compute: < 0.01 second

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