1. The problem statement, all variables and given/known data A force F=bx3 acts in the x direction, where the value of b is 3.7N/m3. How much work is done by this force in moving an object from x=0.00m to x=2.6m? 2. Relevant equations W=F*D ∫undu = (u(n+1)/(n+1))+C 3. The attempt at a solution I know from previous problems that I'm going to integrate to find the area under the curve bx3 from 0 to 2.6 but I don't have the intuition as to why. I don't really understand why I'm doing this besides the face that I see a function raised to a power and not much more information is given. I'm following a pattern based on a pattern I see. I get that the force is changing in the y coordinate and that the x coordinate I'm worried about goes from 0 to 2.6 and I'm finding the area using integration but is the force a jerk because it's raised to the 3rd power, would it be acceleration if raised to the second power? I remember doing derivatives and thinking this. How did they come up with b? How did b come to be? What measuring device gives a reading like 3.7N/m3? I'm not even sure I'm asking the right questions but I want to fully understand this.