Evaluate ∫xcos(x)dx\int x \cos(x) dx∫xcos(x)dx using integration by parts, where u=xu=xu=x and dv=cos(x)dxdv=\cos(x)dxdv=cos(x)dx. What is the result?
xsin(x)−cos(x)+Cx \sin(x) - \cos(x) + Cxsin(x)−cos(x)+C
xsin(x)+Cx \sin(x) + Cxsin(x)+C
xsin(x)+cos(x)+Cx \sin(x) + \cos(x) + Cxsin(x)+cos(x)+C
12x2sin(x)+C\frac{1}{2}x^2 \sin(x) + C21x2sin(x)+C