Answer
$\dfrac{1}{4} \ sq. unit$
Work Step by Step
We are given that $f(x)=\int_0^1 \dfrac{x}{2} \ dx$
Here. the area of a triangle is equal to $A=\int_0^1 \dfrac{x}{2}$
$=\dfrac{1}{2} \times (Base) \times Height$
$=\dfrac{1}{2} (1)(1/2)$
Thus, $\int_0^1 \dfrac{x}{2} \ dx=\dfrac{1}{4} \ sq. unit$
