Answered

Bonjour
Déterminer les primitives sur I des fonctions suivantes :
a) f(x) = 3x³-2x+2 , I=R
b) f(x) = x + 2 + 1/x² , I =]0;+∞[
c)f(x) = 3x²+4x-2/x⁴ , I =]0;+∞[
d) f(x) = 1/(x-2)² , I = I =]-∞; 2[
e) f(x) = 6x-9/(x²-3x+2)⁴ , I =]1:2[
f) f(x) = 2x/ (x²+1)², I=R
j) f(x) = 1/√-4x+3 , I = ]-∞ ; 3/4 [
k) f(x) = 2x+3/√x²+3x+2 , I = ]-1; +∞ [

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Sagot :

Je note F une primitive
a/ F(x)= (3x^4)/4 -x^2 + 2x
b/ F(x) = (x^2)/2 +2x -1/x
c/ F(x)= x^3 + 2x^2 + 2/(5x^5)
d/ F(x)= -1/(3(x-2)^(-2))
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