作者dreamenjoy (今天也很爽)
看板trans_math
标题[积分] 几题~~
时间Sun Mar 25 01:19:44 2012
1.
x+3
∫ --------dx
x^4+9x^2
我不知道这要怎拆项
2.
x -t^2 (11)
f(x)=∫e dt 求f (0)
0
3.设R={(x.y)=(x-1)^2+y^2<=1} 求∫∫√x^2+√y^2 dA
R
4.
区线R由曲线y=√x , 直线y=2及x=0所围成
求此区域R对直线X=4旋转所围体积
我用层壳法
V=2π∫(2-√x)(x-4)dx
我不太了解为何是x-4不是4-x??
5.
Find the convergence set for the power series
n n
∞ (-1) (x-4)
Σ -------------- and also find its sum
n=0 n+1
这题我找出收敛区间3<x<=5
可是我不会求值
6.
Determine whether there are any points on the surface
z^2+xy-2x-y^2=1 at which the tangent plane is parallel to z=2
7.
4
∫√4+9x dx
0
8.
Find the area of cup cut from the sphere
x^2+y^2+z^2=2 by the cone z=√(x^2+y^2)
抱歉还满多题的 因为做到累积到一定题目不懂才来发问
麻烦各位了。
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