9. Line Integrals - Contents

1. Arc Length

     1
   1. Arc Length

2. Line Integrals of Scalars

     1
   1. Line Integrals of Scalars

3. Applications of Scalar Line Integrals

     1   2   3
   1. Mass, Center of Mass & Centroid
   2. Average Value
   3. Probability & Expected Value

4. Line Integrals of Vectors

     1
   1. Line Integrals of Vectors

5. Applications of Vector Line Integrals

     1   2
   1. Work
   2. Flow and Circulation

6. Normal Line Integrals in \(\mathbb{R}^2\) (Optional)

     1
   1. Normal Line Integrals in \(\mathbb{R}^2\) (Optional)

7. Applications of Normal Line Integrals (Optional)

     1
   1. Expansion

8. Exercises

     1
   1. Exercises