Assume that a force of (3x^2 - x + 1)N is pulling an object at each point of the x-axis. find the work done in moving the object from x = 1 to x = 4

this is my answer
ans = 125/2

pls do you think am right?

2 answers

I don't get that, near, but not that.
The answer is the integral of F dx from x=1 to 4.
That would equal the value of the indefinite integral x^3 -x^2/2 + x at x=4 MINUS the value at x+1.
[64 -8 + 4] - [1 - 1/2 + 1]
= 60 - (3/2) = 117/2

Check both our calculations; I am getting sloppy and have posted several wrong answers recently.