Difficult# Work Done by a Complicated F(x)

APPHMC-YQTNEI

From $x = 0$ to $x = 6$, the force experienced by an object varies according to the function $F(x) = \sqrt{6x-x^{2}}$, as shown above.

What is the work done by this force as the object moves from $x = 0$ to $x = 3$?

Assume all numbers are given in standard units.