计算不定积分∫xcos(x/2)dx 求过程跟答案

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计算不定积分∫xcos(x/2)dx求过程跟答案计算不定积分∫xcos(x/2)dx求过程跟答案计算不定积分∫xcos(x/2)dx求过程跟答案∫xcos(x/2)dx=2∫xcos(x/2)d(x/

计算不定积分∫xcos(x/2)dx 求过程跟答案
计算不定积分∫xcos(x/2)dx 求过程跟答案

计算不定积分∫xcos(x/2)dx 求过程跟答案
∫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