WW 15 Question 5

How do I even start this question? I’m confused on how to set it up.

The blue line in the graph above defines a linear function y=f(t).
(A) Suppose that x>3 is a point that may vary on the 𝑡-axis. Find the accumulated area function

A(x) = \int_0^x f(t) \, dt

that calculates the net area of the shaded region on the interval [0,x]. Hint: What is the area of a triangle?
A(x)=

(B) Find the antiderivative for the function f(t) that has constant term zero.
Antiderivative F(t)=

Never mind, I figured it out! For anyone wondering it’s;

A)(-1/6)x^(2)+x
because that is the antiderivative of the line and,

B)(-1/6)t^(2)+t+0
because it’s the same thing just adding the constant term zero.