https://nrich.maths.org/discus/messages/27/147417.jpg [Broken](adsbygoogle = window.adsbygoogle || []).push({});

For the above problem, I simply take the curl of F and then take the cross product of it with the normal to the plane and integrate the whole thing with respect to the surface bounded by the plane.

Now, my solution is as followed with the help of computer program (save some manual calculation):

https://nrich.maths.org/discus/messages/27/147418.jpg [Broken]

Now, why is my value negative? am I doing something opposite? I thought I take the right normal vector. My n ds = dr/dx cross with dr/dy multiplied by dx and dy = <1, 1/2, 1> dxdy

So, the whole (double) integration is just

curl of F dotted with <1,1/2,1> dydx where y goes from 0 to 8-2x and then x from 0 to 4.

please help

thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Am I doing anything opposite to this problem related to verifying Stokes' theorem?

**Physics Forums | Science Articles, Homework Help, Discussion**