作业帮求解不定积分.最好能用分部积分法解!
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/16 07:07:30
求解不定积分.最好能用分部积分法解!
求解不定积分.最好能用分部积分法解!
求解不定积分.最好能用分部积分法解!
原积分=
(2/3)∫ lnxd[x^(3/2)]
=(2/3){[x^(3/2)]·lnx - ∫[x^(3/2)]·d(lnx)}
=(2/3){[x^(3/2)]·lnx - ∫x^(1/2)dx}
=(2/3){[x^(3/2)]·lnx - (2/3)x^(3/2)+C1}
=(2/3)[x^(3/2)]·lnx - (4/9)x^(3/2) + C