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Spherical coordinates 
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#1
Nov2005, 11:41 PM

P: 284

Hi,
Please can someone help me with this problem: find the triple integral over T( using spherical coordinate) T: 0<=x<=1 0<= y<=sqrt(1x^2) sqrt(x^2+y^2)<= z <= sqrt(2(X^2+y^2)) please help me just to find the boundaries of the integrals. I tried but I did not find the solution of the textbook. ( because I set the wrong triple integral) I also tried to draw a picture but ...nothing Thank you 


#2
Nov2105, 01:51 AM

P: 599

Use the relations between Cartesian (x,y,z) and spherical coordinates ([itex]r,\theta,\phi[/tex]) to substitute for x, y and z:
[tex]x=rsin(\phi)cos(\theta)[/tex] [tex]y=rsin(\phi)sin(\theta)[/tex] [tex]z=rcos(\phi)[/tex] where phi is the angle between a vector and the zaxis. theta is the angle between the projection on the x,y plane ad the xaxis. 


#3
Nov2105, 10:26 AM

HW Helper
P: 1,021

Also don't forget your Jacobian, in this case being rēsin(phi).



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