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Graph of [math]

The blue line in the graph above defines a linear function [math].
(A) Suppose that [math] is a point that may vary on the [math]-axis. Find the accumulated area function
[math]
that calculates the net area of the shaded region on the interval [math]. Hint: What is the area of a triangle?
[math]

(B) Find the antiderivative for the function [math] that has constant term zero.
Antiderivative [math]