In single variable calculus we learned how to evaluate an integral over an interval ???[a,b]??? in order to calculate the area under the curve on that interval. We could approximate the area under the curve using a Riemann sum, or calculate the area exactly using an integral.
Read MoreA vector field F is called conservative if it’s the gradient of some scalar function. In this situation f is called a potential function for F. In this lesson we’ll look at how to find the potential function for a vector field.
Read MoreIndependence of path is a property of conservative vector fields. If a conservative vector field contains the entire curve C, then the line integral over the curve C will be independent of path, because every line integral in a conservative vector field is independent of path, since all conservative vector fields are path independent.
Read MoreGreen’s Theorem gives us a way to change a line integral into a double integral. If a line integral is particularly difficult to evaluate, then using Green’s Theorem to change it to a double integral might be a good way to approach the problem.
Read MoreGreen’s theorem gives us a way to change a line integral into a double integral. If a line integral is particularly difficult to evaluate, then using Green’s theorem to change it to a double integral might be a good way to approach the problem.
Read More
