Fie F : R -> R
F este primitva a lui f
=> [tex]F(x)= \int f(x) \, dx [/tex]
[tex]F(x) = \int x^{2} + 2 \, dx[/tex]
F(x) = [tex] \frac{x^{3} }{3} + 2x +C[/tex]
F(3) = 5 => [tex] \frac{3^{3} }{3} + 2*3 + C = 5[/tex]
9 + 6 + C = 5
15 + C = 5
C = -10
Rezulta F(x) = [tex] \frac{x^{3} }{3} + 2x - 10[/tex]