The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. 
Home Vector Calculus Line Integrals Examples Example 4: Line Integral of a Circle  
Search the VIAS Library  Index  
Example 4: Line Integral of a Circle
Find the line integral where C is the circle x^{2} + y^{2} = 4, shown in Figure 13.2.13. Figure 13.2.13 We may start at any point of C. Take (2,0) as the initial point. Then C has the parametric equations x = 2 cos θ, y = 2 sin θ, 0 ≤ θ ≤ 2π. As θ goes from 0 to 2π, (x, y) goes around C once counterclockwise as required.


Home Vector Calculus Line Integrals Examples Example 4: Line Integral of a Circle 