求解不定积分.最好能用分部积分法解!

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求解不定积分.最好能用分部积分法解!
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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