Finding work and velocity through acceleration

[Pudim]

Homework Statement

Figure 7-39 gives the acceleration of a 1.95 kg particle as it is moved from rest along an x-axis by an applied force Fa, from x = 0 to x = 9 m.

Fig. 7-39 : http://www.webassign.net/hrw/W0128-N.jpg

How much work has the force done on the particle when the particle reaches the following points?
(a) x = 4 m
(b) x = 7 m
(c) x = 9 m

What is the particle's speed and direction of travel when it reaches each of the following points?
(a) x = 4 m
(b) x = 7 m
(c) x = 9 m

Homework Equations

F=ma
W=integral (F dot dx)

The Attempt at a Solution

I tried taking the area of the acceleration vs. x graph and timed it by m, which would give me the acceleration of the F vs. x graph, which should be equal to work, but it was incorrect.
I did not know how to find work for the specific position.

 

[Simon Bridge]

I tried taking the area of the acceleration vs. x graph and timed it

You mean "multiplied it" don't you? "Timed" has a different meaning.

by m,

the mass?

which would give me the acceleration of the F vs. x graph, which should be equal to work, but it was incorrect.

Please show your working and how you know it is wrong.