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Home Vector Calculus Line Integrals Examples Example 3: Piecwise Smooth Curve | |
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Example 3: Piecwise Smooth Curve
EXAMPLE 3 Find the line integral where C is the rectangular curve from (2, 5) to (4, 5) to (4, 6). We see in Figure 13.2.10 that C is a piecewise smooth curve made up of a horizontal piece C1:2 ≤ x ≤ 4, y = 5 and a vertical piece C2:x = 4, 5 ≤ y ≤ 6. The line integral is the sum of two partial integrals, Figure 13.2.10
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Home Vector Calculus Line Integrals Examples Example 3: Piecwise Smooth Curve |