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Surface integral question

number23

Hi, can someone help me with this question?

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Reply 1

number23

Original post by number23

Hi, can someone help me with this question?

Anyone?

Reply 2

Jippet

I did this a while back so this might be wrong but it might ring a bell...

The route I'm thinking of is splitting the integral into 2 parts, where dA=dxdy (or the other way around, whichever's easiest) and then integrating twice with respect to each variable with its limits.

Reply 3

BlueSam3

Let

\gamma: I\times J \to \mathbb{R}^3

parametise

S

, where

I

and

J

are real intervals. Then

\displaystyle\int_S F . dA := \int_I \int_J F(\gamma(x,y)) \cdot \left(\frac{\partial \gamma}{\partial x} \times \frac{\partial \gamma}{\partial y} \right) dy dx

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Surface integral question

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