(((1-4x^2)^(1/2)))/x^2 dx
想要步驟
想問一條M2 indefinite integrals
2011-01-30 11:14 pm
回答 (2)
2011-01-30 11:44 pm
✔ 最佳答案
http://img98.imageshack.us/img98/4757/51469091.png圖片參考：http://img98.imageshack.us/img98/4757/51469091.png
2011-01-30 16:04:18 補充：
There is a mistake in the calculation, the step to transform x to u should be
I=∫4(cos u/sin^2 u)(cos u du/2) = 2∫ cot^u du
All subsequent steps should be mutiplied by 4
and the answer = -sqrt(1-4x^2)/x - arc sin 2x +c
2011-01-30 16:09:46 補充：
Please see the updated solution:
http://img171.imageshack.us/img171/8379/28967917.png
2011-01-31 12:30 am
thx a lot !!! ^^
收錄日期: 2021-04-23 23:24:40
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110130000051KK00654