作者mathmanliu (putty)
看板trans_math
标题Re: [积分] 重积分
时间Tue Feb 24 13:01:03 2009
※ 引述《cjslc2 (笑点)》之铭言：
: Find the volume of the region bounded below by the plane z = 0,laterally by
: the cylinder x^2 + y^2 = 1 ,and above by the paraboloid z = x^2 + y^2
: 请问这题如果要用球座标积的话要怎麽积呢? 谢谢
极坐标吧!(球坐标反而不方便)
体积 V=∫∫ (x^2+y^2)dydx (积分范围是 x^2+y^2 <= 1 )
改为极坐标
= ∫∫ r^2 * r dr dθ ( r=0~1, θ=0~2π)
= π/2
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 123.193.32.236