Chọn phương án C.

$$\begin{align*}\displaystyle\int\limits_{0}^{2} f'\left(x\right)\mathrm{\,d}x&= f\left(x\right)\bigg|_{0}^2=f\left(2\right) - f\left(0\right)=5\\
\Leftrightarrow f\left(2\right)&= 5+f(0)=4.\end{align*}$$