A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
The explanation of a line integral in a vector field is very clear but I can't seem to find the lecture on a line integral in a scalar field. Is there one in the series?
 2 years ago
The explanation of a line integral in a vector field is very clear but I can't seem to find the lecture on a line integral in a scalar field. Is there one in the series?

This Question is Closed

beginnersmind
 2 years ago
Best ResponseYou've already chosen the best response.0The line integral is based on the dot product of two vectors, so there's no direct analogue for scalar fields. You can take the one dimensional integral of a scalar field along a curve. I don't think this is very common but it's doable. If you have a curve parametrized by arc length rewrite your scalar field in terms of the parameter. This is now a single variable function that you can integrate the usual way. For a two dimensional scalar field this can be used to calculate the area of a sheet below a certain path.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.