turkey-yks 2019 Q27

turkey-yks · Other · yks-ayt Areas by integration
In the rectangular coordinate plane, the line $y = \frac { x } { 2 }$ and the graph of the function $y = f ( x )$ are given below.
$$\begin{aligned} & \int _ { 0 } ^ { 4 } f ( x ) d x = 8 \\ & \int _ { 4 } ^ { 6 } f ( x ) d x = 3 \end{aligned}$$
Given that, what is the sum of the areas of the shaded regions in square units?
A) 3
B) 4
C) 5
D) 6
E) 8
In the rectangular coordinate plane, the line $y = \frac { x } { 2 }$ and the graph of the function $y = f ( x )$ are given below.

$$\begin{aligned}
& \int _ { 0 } ^ { 4 } f ( x ) d x = 8 \\
& \int _ { 4 } ^ { 6 } f ( x ) d x = 3
\end{aligned}$$

Given that, what is the sum of the areas of the shaded regions in square units?\\
A) 3\\
B) 4\\
C) 5\\
D) 6\\
E) 8