Question
Asked Feb 12, 2020
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Let C be the curve which is the union of two line segments, the first going
from (0, 0) to (-1, -2) and the second going from (-1, -2) to (-2, 0).
Compute the line integral / -
-ldy + 2dx.
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Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-1, -2) and the second going from (-1, -2) to (-2, 0). Compute the line integral / - -ldy + 2dx.

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Expert Answer

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Step 1

Given:

The curve C is the union of two-line segments, first going from (0,0) to (-1,-2) and the second going from (-1,-2) to (-2,0)

Equation of line passing through from (0,0) to (-1,-2) is given by

Calculus homework question answer, step 1, image 1

 

Step 2

Equation of line passing through from (-1,-2) to (-2,0) is given by

Calculus homework question answer, step 2, image 1

 

Step 3

The line integral

Calculus homework question answer, step 3, image 1

 

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Math

Calculus