作者wang32031 (阿轻嫂)
看板trans_math
标题[积分]问几题积分
时间Tue Mar 23 17:24:45 2010
1.∫{(1+x)/(1-x)}^1/2 dx=
2∫(tanx)^1/2 dx
3.∫{(1-cosx)/(cosa-cosx)}^1/2 dx a is constant
帮忙解答 谢谢= =
发现第三题题目有点打错 少根号
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 140.124.8.44
1F：推 midarmyman:第一题 let x=cos2t 140.117.198.78 03/23 18:24
2F：→ midarmyman:所以1+cos2t=2(cost)^2 140.117.198.78 03/23 18:25
3F：→ midarmyman:1-cos2t=2(sint)^2 140.117.198.78 03/23 18:25
4F：推 mk426375:第二题 let u =(tanx)^1/2 140.114.221.56 03/24 01:26
5F：→ mk426375:之後用integration by parts 140.114.221.56 03/24 01:27
6F：→ mk426375:啊 刚发现我的解法有点问题 请无视囧... 140.114.221.56 03/24 01:33
※ 编辑: wang32031 来自: 218.166.97.247 (03/24 08:03)