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# 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.

A

$0 J$

B

$4.5 J$

C

$7.1 J$

D

$9.0 J$

E

$14.0 J$