Work done by variable force from acceleration graph

[musicfairy]

A 8 kg brick moves along an x axis. Its acceleration as a function of its position is shown in Figure 7-37. What is the net work performed on the brick by the force causing the acceleration as the brick moves from x = 0 to x = 8.0 m?

What I tried to do is find the area and multiply by the mass, but it doesn't work.

Please help.


Edit: Never mind it worked. I just typed it in wrong. But I have another concern.

Is there any additional ways to solve this problem other than the one I mentioned? I was looking at someone else's work and that person did something with the slope. How does that work?

 

[Rake-MC]

By looking at it I could see that if they take info from the slope they would appear to be taking a longer route, finding the slope just cancels the displacements.