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-(((-2 + a^2*x^2)*Cos[a*x])/a^3) + (2*x*Sin[a*x])/a^2

Integrate[x^2*Sin[a*x], x] ==
-(((-2 + a^2*x^2)*Cos[a*x])/a^3) + (2*x*Sin[a*x])/a^2 

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

         2  2
  (-2 + a  x ) Cos[a x]    2 x Sin[a x]
-(---------------------) + ------------
            3                    2
           a                    a
Time to compute: 0.04 second
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