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(c) Evaluate the line integral\int _ { C } x ^ { 2 } y d swhe... | Filo
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David and Sandra plan to evaluate line integral ∫C 𝐅 ·d 𝐫 along a path in the x y -plane from (0,0) to (1,1). The force field is 𝐅(x, y)=(x 2 y) 𝐢 (-x y^2) 𝐣. David chooses the path that runs along the x -axis from (0,0) to (1,0) and then runs along the vertical line x=1 from (1,0) to the final point (1,1) . Sandra chooses the direct path along the diagonal line y=x from (0,0) to (1,1). Whose line integral is larger and by how much? | Numerade
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Evaluate the line integral with respect to s along the curve C .
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