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(3*(-2 + a^2*x^2)*Cos[a*x])/a^4 + (x*(-6 + a^2*x^2)*Sin[a*x])/a^3

Integrate[x^3*Cos[a*x], x] ==
(3*(-2 + a^2*x^2)*Cos[a*x])/a^4 + (x*(-6 + a^2*x^2)*Sin[a*x])/a^3 

           3
Integrate[x  Cos[a x], x] == 

         2  2                      2  2
3 (-2 + a  x ) Cos[a x]   x (-6 + a  x ) Sin[a x]
----------------------- + -----------------------
           4                         3
          a                         a
Time to compute: 0.05 second
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