You are walking across campus when you see a colorful piece of paper of mass m = 0.20 kg flying through the air. As the paper enters the science quad, it is moving North at v = 4 m/s.

As the paper goes across the quad, the wind continues to blow it, pushing it through the air. But the force and direction of the wind change as the paper flies.

1. What is the area under the curve on this graph? Please include units.
2. In this situation, the force of the wind can be expressed as a quadratic function of position, like so:
   

   In this case, the coefficients turn out to be

   

3. Using your formula for the force of the wind, integrate to find the work done by the wind on the paper.