Bonjour,
Matière : Mathématiques
Niveau : Lycée
Thème abordé : Primitives de fonction
1) f(x) = x⁴ - 3x² + 5x
F(x) = [tex] \frac{x^{5} }{5} - x^3 + \frac{5}{2} x^2[/tex]
2) f(x) = 3 + 7/x²
F(x) = 3x - 7/x
3) f(x) = 7/(3√x) = 7[tex] x^{ \frac{-1}{2}} [/tex]/3
F(x) = 2 * 7/3 * √x
F(x) = 14/3 * √x
4) f(x) = [tex] \frac{4x-5}{(2x^2-5x+4)^2} [/tex]
F(x) = -1/(2x² - 5x + 4)
5) f(x) = 7/x^8
F(x) = -1/(x^7)
6) f(x) = [tex] \frac{x^3-2}{x^2} [/tex] = x - 2/x²
F(x) = x² + 2/x
7) f(x) = [tex] \frac{x-1}{3(x^2-2x+3)^4} [/tex]
F(x) = [tex] \frac{-1}{18(x^2-2x+3)^3} [/tex]
8) f(x) = [tex] \frac{(3-2x)^4}{3} [/tex]
F(x) = [tex] \frac{-(3-2x)^5}{30} [/tex]
