Displacement with a velocity time graph that is a parabola

[einstein101]

Homework Statement

How would you find the displacement of a velocity/time graph when it is in the shape of a parabola?

Homework Equations

I know Velocity x time = displacement.

The Attempt at a Solution

I know that velocity x time = displacement, but how do you find the area under the graph when it is parabolic?

 

[ehild]

The displacement is the integral of the velocity with respect time in the given time interval. What is the original text of the problem?

ehild