- #1
naspek
- 181
- 0
consider this following triple integral
1/(x^2+y^2+z^2)dxdydz
bounded above by sphere z=(9-x^2-y^2)^1/2 and below by the cone z=(x^2+y^2)^1/2
what i have done:
z=Pcospi
P^2=x^2+y^2+z^2
9=x^2+y^2+z^2
P=0 to 3
pi=0 to pi/4
theta=0 to 2pi
is this the correct range?
1/(x^2+y^2+z^2)dxdydz
bounded above by sphere z=(9-x^2-y^2)^1/2 and below by the cone z=(x^2+y^2)^1/2
what i have done:
z=Pcospi
P^2=x^2+y^2+z^2
9=x^2+y^2+z^2
P=0 to 3
pi=0 to pi/4
theta=0 to 2pi
is this the correct range?