turkey-yks 2014 Q46

turkey-yks · Other · lys1-math Integration by Parts Definite Integral Evaluation by Parts
f is a differentiable function on the set of real numbers and
$$\begin{aligned} & \int _ { 0 } ^ { 3 } f ( x ) d x = 2 \\ & \int _ { 0 } ^ { 3 } x f ^ { \prime } ( x ) d x = 1 \end{aligned}$$
Given this, what is the value of $\mathbf { f } \boldsymbol { ( } \mathbf { 3 } \boldsymbol { ) }$?
A) 0
B) 1
C) 2
D) 3
E) 4
f is a differentiable function on the set of real numbers and

$$\begin{aligned}
& \int _ { 0 } ^ { 3 } f ( x ) d x = 2 \\
& \int _ { 0 } ^ { 3 } x f ^ { \prime } ( x ) d x = 1
\end{aligned}$$

Given this, what is the value of $\mathbf { f } \boldsymbol { ( } \mathbf { 3 } \boldsymbol { ) }$?\\
A) 0\\
B) 1\\
C) 2\\
D) 3\\
E) 4