求以下積分的數值:
http://i29.photobucket.com/albums/c300/chuchu623/10-05-09_163756.jpg
答案: 1.1310
很煩計了半個鐘還是折不到
請詳細列明步驟thx
[數統] 一題積分 (15 pts)
2009-05-11 12:47 am
回答 (2)
2009-05-11 1:34 am
✔ 最佳答案
Please look at the followings:圖片參考：http://i601.photobucket.com/albums/tt95/physicsworld9999/physicsworld02May101733.jpg?t=1241948048
參考: Physics king
2009-05-11 1:36 am
∫xln(1+x^2)/(1+x^2) dx [0,e]
=(1/2)∫ln(1+x^2)/(1+x^2) d(1+x^2) [0,e]
=(1/2)∫lnu / u du [1,1+e^2]
=(1/2)∫lnu d lnu [1,1+e^2]
=(lnu)^2/4 [1,1+e^2]
= 1.1310
=(1/2)∫ln(1+x^2)/(1+x^2) d(1+x^2) [0,e]
=(1/2)∫lnu / u du [1,1+e^2]
=(1/2)∫lnu d lnu [1,1+e^2]
=(lnu)^2/4 [1,1+e^2]
= 1.1310
收錄日期: 2021-04-19 14:17:27
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090510000051KK01302