Answer
$2 \ sq. unit$
Work Step by Step
We are given that $f(x)=\int_2^4 (x-2) \ dx$
Here. the area of a trapezoid is equal to $A= \int_2^4 (x-2) \ dx$
$=\dfrac{1}{2} \times (a+b) \times Height$
$=\dfrac{1}{2} (4-2)(2)$
Thus, $\int_2^4 (x-2) \ dx=2 \ sq. unit$