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x/8 - Sin[4*a*x]/(32*a)


Integrate[Cos[a*x]^2*Sin[a*x]^2, x] ==
x/8 - Sin[4*a*x]/(32*a)



                  2         2
Integrate[Cos[a x]  Sin[a x] , x] == 

x   Sin[4 a x]
- - ----------
8      32 a

Time to compute: 0.01 second

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