physics help??

Question

A robot arm that controls the position of a
video camera in an automated surveillance
system is manipulated by a servo motor that
exerts a force on a push-rod.
The force is given by
F(x) = x^2 ;
where x is the position of the end of the push-
rod.
If the push-rod moves from x1 = 0 m to
x2 = 12 m, how much work did the servo
motor do? Answer in units of J.

Answer 1

I think your answer is integral from x=0 to x=12 F(x) dx
which equals x^3 / 3 (evaluated at the limits) = 576.
presupposing your F units are newtons, and a newton force acting over a meter distance is a joule, then your
576 is in joule units.

Answer 2

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