- #1
Fizic
- 23
- 0
∫03∫0sqrt(9-x2)∫sqrt(x2+y2)sqrt(18-x2-y2) (x2+y2+z2)dzdxdy
x=[itex]\rho[/itex]sin[itex]\varphi[/itex]cosθ
y=[itex]\rho[/itex]sin[itex]\varphi[/itex]sinθ
z=[itex]\rho[/itex]cos[itex]\varphi[/itex]
Change the integrand to [itex]\rho[/itex] and integrate wrt d[itex]\rho[/itex]dθd[itex]\varphi[/itex]
I don't know how to find the limits of integration. Normally I would draw a picture and reason it out, but that doesn't seem plausible here.
Thanks.
x=[itex]\rho[/itex]sin[itex]\varphi[/itex]cosθ
y=[itex]\rho[/itex]sin[itex]\varphi[/itex]sinθ
z=[itex]\rho[/itex]cos[itex]\varphi[/itex]
Change the integrand to [itex]\rho[/itex] and integrate wrt d[itex]\rho[/itex]dθd[itex]\varphi[/itex]
I don't know how to find the limits of integration. Normally I would draw a picture and reason it out, but that doesn't seem plausible here.
Thanks.