解不定积分：x乘cosx/2的不定积分.

分类: 作业答案 • 2022-08-04 23:11:37

问题描述：

答

∫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)+4cos(x/2)+C