∫xcos(x/2)dx

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∫xcos(x/2)dx∫xcos(x/2)dx∫xcos(x/2)dx用分部积分∫xcos(x/2)dx=2∫xcos(x/2)d(x/2)=2∫xdsin(x/2)=2xsin(x/2)-2∫si

∫xcos(x/2)dx
∫xcos(x/2)dx

∫xcos(x/2)dx
用分部积分
∫xcos(x/2)dx
=2∫xcos(x/2)d(x/2)
=2∫xdsin(x/2)
=2xsin(x/2)-2∫sin(x/2)dx
=2xsin(x/2)-4∫sin(x/2)d(x/2)
=2xsin(x/2)+4cos(x/2)+C