What Are the Different Solutions for Integrating xsin^2xdx?

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[tex] \int xsin^2xdx[/tex]
[tex] \frac{1}{2}\int x(1-cos2x)dx[/tex]
[tex] \frac{x^2}{4}-\frac{1}{2}\int xcos2xdx[/tex]
[tex] \frac{x^2}{4}-\frac{xsin2x}{4}-\frac{cos2x}{8}+C[/tex]
 
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