作者NAOHIRO (naohiro)
看板trans_math
标题[微积分] 一题好像是心脏线的题目
时间Mon Jun 16 16:01:38 2008
题目是: Find the area of the region that lies that
inside the circle r=1 and outside the cardioid
r=1-cosθ
另外补充偷偷问一下
∫(x^2)(e^x的平方)dx 要怎麽算
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 218.162.192.80
1F：推 Serenede:用分部积分法 x=u xe^(x^2)=dv 140.112.242.85 06/16 16:29
2F：→ Serenede:v=1/2e^(x^2) du=dx 140.112.242.85 06/16 16:30
3F：→ Serenede:至於你那题可能只要分别算出两个面积 140.112.242.85 06/16 16:32
4F：→ Serenede:再减掉就好了 140.112.242.85 06/16 16:32
5F：推 g10010010010:2倍(四分之一圆-心脏线0-pi/2 61.229.32.149 06/17 00:45
6F：→ g10010010010:要用极座标∫(1/2)r^2dr 61.229.32.149 06/17 00:46
7F：→ g10010010010: d矽塔 61.229.32.149 06/17 00:46