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Mathn00b

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Flux integral confusion

Hello,

I've got a problem with solving a flux integral. I've got confused. Is it the way I started correct? Should it be calculated using polar coordinates over drdThetadz or dxdydz?
Please find the problem and the workings attached!

Thank you!

Agnishom

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From: Riemann Sphere

Registered: 2011-01-29

Posts: 25,002

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Re: Flux integral confusion

I am new to vector calculus too but how about we compute the divergence first? And apply Thedivergence theorem?

Last edited by Agnishom (2015-05-09 00:53:04)

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Mathn00b

Member

Registered: 2015-05-09

Posts: 1

Re: Flux integral confusion

, which in my case will give

, which will give just

Dunno if it is correct
Also found another approach but there I got quite unpleasant integral.

This surface is the graph of the function

, so use the graph parametrization

We shall use the following (very important!) general formula for the upward normal of a surface defined by an equation of the form

   

For the surface of interest here, it follows that:

And we have

So

So we have   

Last edited by Mathn00b (2015-05-10 03:23:43)