Verified answer

Ответ:

[tex] \displaystyle f(x) = \frac{7 {x}^{2} + 8x + 8 }{x} [/tex]

[tex]\displaystyle f(x) = \frac{7 {x}^{2} }{x} + \frac{8x}{x} + \frac{8}{x} [/tex]

[tex]\displaystyle f(x) = 7x + 8 + \frac{8}{x} [/tex]

[tex]\displaystyle F(x) = 7 \times \frac{ {x}^{2} }{2} + 8 \times x + 8 ln( |x| ) + C[/tex]

[tex]\displaystyle F(x) = \frac{7 {x}^{2} }{2} + 8x + 8 ln( |x| ) + C[/tex]