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:2024/07/02 01:48:54
![求解不定积分.最好能用分部积分法解!](/uploads/image/z/5492592-0-2.jpg?t=%E6%B1%82%E8%A7%A3%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86.%E6%9C%80%E5%A5%BD%E8%83%BD%E7%94%A8%E5%88%86%E9%83%A8%E7%A7%AF%E5%88%86%E6%B3%95%E8%A7%A3%21)
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