Primitives Flashcards
f(x) = c ; F(x) = ?
F(x) = cx + C
f(x) = x^n ; F(x) = ?
F(x) = x^n+1/n+1 +C
f(x) = 1/sqrt(x) ; F(x) = ?
F(x) = 2*sqrt(x) +C
f(x) = 1/x^n ; F(x) = ?
F(x) = -1/(n-1)*x^n-1 + C
f(x) = u’(x) * u^n(x) ; F(x) = ?
F(x) = u^n+1(x)/n+1 +C
f(x) = 1/x ; F(x) = ?
F(x) = ln(x) + C
f(x) = sin(x) ; F(x) = ?
F(x) = -cos(x) +C
f(x) = cos(x) ; F(x) = ?
F(x) = sin(x) +C
f(x) = e^x ; F(x) = ?
F(x) = e^x +C
f(x) = u’e^u ; F(x) = ?
F(x) = e^u + C
f(x) = u’/u F(x) = ?
F(x) = ln(u) + C
f(x) = u’ * u^n ; F(x) = ?
F(x) = u^n+1/n+1 + C
f(x) = u’/2sqrt(u) ; F(x) = ?
F(x) = sqrt(u) + C
f(x) = u’ * cos(u); F(x) = ?
F(x) = sin(u) + C
f(x) = u’ sin(u); F(x) = ?
F(x) = -cos(u) + C
Lors d’une primitive, qu’est ce que l’on ne doit pas oublier ?
La constante (+ C)
Calcule la primitive de f(x) = x/(x^2+5)^4 ?
F(x) = (x^2+5)^5/10 +C
Calcule la primitive de f(x) = 2x+1/(x^2+x+5)^9
F(x) = -1/8(x^2+x+5)^8 + C
