Hi

do you need to use a Jacobian when integrating over a function defined in spherical coordinates?

Question

Hi 

do you need to use a Jacobian when integrating over a function defined in spherical coordinates?

alienium · Answer

huh ? come again ...

anonymous · Answer

say you have a function f(r,phi,theta) and you want to do a integration, do you need to use the jacobian when its already in spherical coordinates

alienium · Answer

tbh... it's out of my scope...

dan815 · Answer

you can use the jacobian to convert dxdydz interms of drho dphi and dtheta

dan815 · Answer

just like polar coordinates dx dy to dr dtheta has a scaling factor of r which you can get by taking the jacobian

dan815 · Answer

spherical coordinates is pretty straight forward thought u dont need to think in terms of jacobian

dan815 · Answer

jacobian is more useful when say you have an ellipse and you want to work with it as an ellipse or
say you have an ellipsoid and you want to work with it as a sphere in 3D then you can use the jacobian to transform it as a sphere in 3D

anonymous · Answer

Cheers dan, I answered myself in the end