Calculate the Line Integral Along $\int_{C} \mathbf{F} \cdot d \mathbf{r}$

question 6

Multiple Choice

Calculate the line integral along $\int_{C} \mathbf{F} \cdot d \mathbf{r}$ for $\mathbf{F}(x, y) =4 x^{2} \mathbf{i}+4 x y \mathbf{j}$ and C is any path starting at the point $( 0,0 )$ and ending at $( 5,5 )$ .

• A) \(\frac { 275 } { 2 }\)
• B) \(\frac { 220 } { 3 }\)
• C) 5,000
• D) 9,500
• E) \(\frac { 1,100 } { 3 }\)

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