A variable force of ( f(x) = sin³(x)cos³(x) ) pounds moves an object along a straight line when it is ( x ) feet from the origin. Calculate the work done in moving the object from ( x=0 ) ft to ( x=/π/2 ) ft.
a) Depends on the value of ( x )
b) ( 0 )
c) ( /3/4 )
d) ( /1/2 )