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x/2 - Sin[2*a*x]/(4*a)

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

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

x   Sin[2 a x]
- - ----------
2      4 a
Time to compute: < 0.01 second
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