2) Relevant to your post-lab, velocity is the derivative of position (e.g. miles per hour) and acceleration is the derivative of velocity (e.g. speeding up/accelerating 5 mph per second).] c) Provide an expression for the following definite integral: [cat, where c is a constant d) Calculate and sketch the integral I(t) = [ y()dr of the function y(t) below. Place your sketch on top of the graph below: 3.5 3 2.6 2 15 0.5 2 5 7 9 10 [Motivation: you'll see something like this in two weeks when studying how the membrane of a cell stores charges. The step function shown above will reflect the current you inject into a cell and the integral will represent the time course of the cell's voltage if the cell has all of its ion channels closed and therefore accumulates all of the charges injected into its membrane.]