Fundamental Theorem for Line Integrals :: Conservative Vector Field Line Integral

preview_player
Показать описание
Here we use the fundamental theorem for line integrals to evaluate the line integral of the vector field

F(x,y) = (3+2xy^2)i + (2x^2y) j

along the curve C which is the part of the hyperbola y=1/x from (1,1) to (4,1/4).

The key here is that for a conservative vector field (F = grad(f)) the integral is path independent. Thus, all we need to do is evaluate the potential function at the end point and subtract the potential function evaluated at the starting point.
  1. Jonathan Walters
  2. Fundamental Theorem for Line Integrals
  3. Conservative Vector Field Line Integral
  4. Conservative Vector Field
  5. conservative line integral
  6. line integral of gradient
Рекомендации по теме
The Fundamental Theorem 0:06:38

The Fundamental Theorem of Line Integrals // Big Idea & Proof // Vector Calculus

The Fundamental Theorem 0:04:16

The Fundamental Theorem for Line Integrals

16.3: The FundamentalTheorem 0:43:34

16.3: The FundamentalTheorem for Line Integrals

Fundamental Theorem for 0:08:09

Fundamental Theorem for Line Integrals :: Conservative Vector Field Line Integral

The Fundamental Theorem 0:09:15

The Fundamental Theorem of Line Integrals - Part 1

Calculus 3: The 1:02:18

Calculus 3: The Fundamental Theorem for Line Integrals (Video #29) | Math with Professor V

Fundamental Theorem of 0:15:36

Fundamental Theorem of line integrals

Solve the Line 0:07:23

Solve the Line Integral with the Fundamental Theorem of Line Integrals - 16.3.14 Cengage

Line Integrals on 1:53:58

Line Integrals on CONSERVATIVE Vector Fields (Independence of Path): Calculus 3 Lecture 15.4

Evaluating Line Integrals 0:12:54

Evaluating Line Integrals

Calc 3 16.3 0:28:08

Calc 3 16.3 Notes: The Fundamental Theorem for Line Integrals

Example of the 0:14:21

Example of the Fundamental Theorem of Line Integrals

The Fundamental Theorem 0:09:41

The Fundamental Theorem for Line Integrals

Fundamental Theorem for 0:08:18

Fundamental Theorem for Line Integrals

Fundamental Theorem for 0:14:03

Fundamental Theorem for Line Integrals

The Fundamental Theorem 0:07:10

The Fundamental Theorem of Line Integrals - Part 2

Introduction to the 0:18:49

Introduction to the line integral | Multivariable Calculus | Khan Academy

Calculus 3: Line 0:06:22

Calculus 3: Line Integrals (29 of 44) What is the Fundamental Theorem for Line Integrals?

The Fundamental Theorem 0:07:41

The Fundamental Theorem for Line Integrals

Fundamental theorem of 0:11:23

Fundamental theorem of Line Integrals | Vector Calculus | LetThereBeMath |

Fundamental Theorem of 0:13:00

Fundamental Theorem of Line Integrals example

Fundamental theorem line 0:05:12

Fundamental theorem line integrals example

Fundamental Theorem of 0:15:27

Fundamental Theorem of Line Integrals

The Fundamental Theorem 0:19:42

The Fundamental Theorem for Line Integrals

Комментарии
Автор

Thank you, this was far more helpful than anything else ive found around here

danielhoefer