Vector fields that can be represented as the gradients of differentiable functions are called conservative vector fields
Vector fields are given by
To find the potential function of a vector field use partial integration.
In three dimensions, if a vector field is conservative then
- Surface Integral for Method 1
- Surface Integral for parametrics
- Divergence theorem
- Stoke's Theorem
- Curl where is the first component of the vector, as the second, and as the third. Ex.