[Đề 2023] Cho \(f\left( 1 \right)=2\) và \(\int\limits_{1}^{3}{{f}’\left( x \right)dx}=6\) tính \(f\left( 3 \right)\)

Ta có \(\int\limits_{1}^{3}{{f}’\left( x \right)dx}=6\Leftrightarrow \left. f\left( x \right) \right|_{1}^{3}=6\)

\(\Leftrightarrow f\left( 3 \right)-f\left( 1 \right)=6\Leftrightarrow f\left( 3 \right)=6+f\left( 1 \right)\Leftrightarrow f\left( 3 \right)=6+2=8.\)