integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
x^3/6 - (x*Cos[2*a*x])/(4*a^2) - ((-1 + 2*a^2*x^2)*Sin[2*a*x])/(8*a^3)

Integrate[x^2*Sin[a*x]^2, x] ==
x^3/6 - (x*Cos[2*a*x])/(4*a^2) - ((-1 + 2*a^2*x^2)*Sin[2*a*x])/(8*a^3) 

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

 3                           2  2
x    x Cos[2 a x]   (-1 + 2 a  x ) Sin[2 a x]
-- - ------------ - -------------------------
6           2                    3
         4 a                  8 a
Time to compute: 0.07 second
Spread the word: