Question: Consider the line integral C , f ( x , y ) d s where f ( x , y ) = 1 0 -

Consider the line integral

_{C}^{}, f (x, y) d s

where

f (x, y) = 10 - 2 x - 4 y

and where

C

is the line segment from

(0, 0)

(1, 1) .

What type of geometric shape's area does the given line integral represent? Compute the area using the line integral and then verity your work using the classical area formula for this shape.

Consider the line integral C , f ( x , y ) d s

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