# Math Help - stokes !

1. ## stokes !

Hopefully I havent posted this question before.
For this question stokes theorem is required.
let c be the curve of intersection of the cone z=sqrt(x^2+y^2) and the plane 3z=y+4 taken once anticlockwise when viewed from above.
Evaluate ∮(sinx-y)dx+(x+cosz)dy+(e^z+z)dz
I would very much appreciate if someone could find the right integrals..and arrive at the correct answer.
.i have spent ages on this question ...thanks.

I used the following eqn ∫∫(∇xF).ndS
then the next step would be to find the cross product.
the normal is 1/√10(j-3k) taken from 3z=y+4
The integrals I got for this are:θ btwn and 2π
phi goes from o to 1 ???

2. ## Re: stokes !

Originally Posted by n22
Hopefully I havent posted this question before.
For this question stokes theorem is required.
let c be the curve of intersection of the cone z=sqrt(x^2+y^2) and the plane 3z=y+4 taken once anticlockwise when viewed from above.
Evaluate ∮(sinx-y)dx+(x+cosz)dy+(e^z+z)dz
I would very much appreciate if someone could find the right integrals..and arrive at the correct answer.
.i have spent ages on this question ...thanks.

I used the following eqn ∫∫(∇xF).ndS
then the next step would be to find the cross product.
the normal is 1/√10(j-3k) taken from 3z=y+4
The integrals I got for this are:θ btwn and 2π
phi goes from o to 1 ???