Răspuns :
cu proprietatea F(2)...etc
F(x) =4*x²/2-3x+C
F(x)=2x²-3x+C
F(2)=2*4-3*2+C=15
8-6+C=15
2+C=15
C=13
F(x)=2x²-3x+13
F(x) =4*x²/2-3x+C
F(x)=2x²-3x+C
F(2)=2*4-3*2+C=15
8-6+C=15
2+C=15
C=13
F(x)=2x²-3x+13
[tex]F(x)= \int\limits {(4x-3)} \, dx =4\cdot \frac{x^2}{2} -3x+C=2x^2-3x+C\\
F(2)=15\\
F(2)=8-6+C=15=\ \textgreater \ C=13\\
F(x)=2x^2-3x+13[/tex]