Answer:
W = 53.6648 J
Explanation:
W = ∫ F * dr
F = < 4*x i , 3*y j > Newtons
dr = < dx, 0 >
Take the dot product:
F * dr = 4* x * dx
Now replacing numeric
W = ∫ 4 * x * dx , ║ x = ( 0 m ⇒ 5.18 m )
W = ¹ / ₂ * (4 N/m) * x ²
W = (2 N/m) * (5.18 m)²
W = 53.6648 J