∫-Inx/x =???
求步驟及答案
integration
2011-01-10 5:29 am
回答 (1)
2011-01-10 6:02 am
✔ 最佳答案
∫ - (ln x)/x dx = - ∫ ln x d(ln x)= - (ln x)2/2 + C
Alternative method: By substitution
Sub u = ln x, then du = dx/x and hence
∫ - (ln x)/x dx = - ∫ u du
= - u2/2 + C
= - (ln x)2/2 + C
參考: 原創答案
收錄日期: 2021-04-26 18:04:11
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110109000051KK01230