Find the work done by the force field on a particle- 16.2.43 Cengage Calculus

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Problem 16.2: 43, Cengage Calculus 9th Edition
Cengage Calculus, 9th Edition Chapter 16: Vector Calculus 16.2 Line Integrals, problem 21, 16.2.43, Find the work done by the force field on a particle that moves along the line segment from to . Evaluate the line integral , where is given by the vector function. Evaluate the line integral, where is the given space curve, C is the line segment from (0,0,0) to (1,2,3). 1, 2, 3, 4, 5, 6, 7, and 8 Evaluate the line integral, where C is the given plane curve.
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could you please explain how you got vector r(t) the explanation seemed very vague for how you found 3 of the parameters so if you could, could you explain how to find the vector r(t) again

abe
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why the intervals of the integral are 0 and 1?

leandroc