Why is the area between these two functions positive? \begin{align*} f(x) &= (x-1)^3\\ g(x) &= (x-1). \end{align*}
The area between $f(x)$ and $g(x)$ is in two parts.
The first part is in the 4th quadrant with lower limit $0$ and upper limit $1$, $f(x)$ is the upper function.
The second part is in the 1st quadrant with lower limit 1 and upper limit 2, $g(x)$ is the upper function.
When I compute the areas individually I get two equal positive numbers the sum of which is 0.5
Shouldn't the area in the fourth quadrant be negative? Or am I missing something?
I've been trying to understand why area in the fourth quadrant is positive.
Thank you.