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

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

           2
Integrate[x  Sin[n Pi x], x] == 

      2   2  2
(2 - n  Pi  x ) Cos[n Pi x] + 2 n Pi x Sin[n Pi x]
--------------------------------------------------
                       3   3
                      n  Pi
Time to compute: 0.05 second
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