∫x* cos²x dx=?

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∫x* cos²x dx=?
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∫x* cos²x dx=?
∫x* cos²x dx=?

∫x* cos²x dx=?
∫x* cos²x dx
=1/2∫x* (1+cos2x)dx
=x^2/4+1/2∫xcos2xdx
=x^2/4+1/4∫xdsin2x
=x^2/4+1/4xsin2x-1/4∫sin2xdx
=x^2/4+1/4xsin2x+1/8cos2x+C