Exercices Résolus : Calcul de Primitives (Terminale C)

T C
◦
x7→ (2x−3)ex2−3x
x7→
x+ 1
ex2+2xx7→
e2x
e2x+ 2
x7→ 1
x2e
1
x
u
0×eueu
u(x) = x2−3x u
0(x) = 2x−3
x7→ ex2−3x
u
0×eueu
x+ 1
ex2+2x= (x+ 1)×e
−x2−2x=−[−(x+ 1)×e −x2−2x]
x7→ −e
−x2−2x
u0
uln u
u(x) = e2x+ 2 u
0(x) = e2x
x7→ ln(e2x+ 2)
u
0×eueu
1
x2e
1
x=−·−1
x2e
1
x¸
u(x) = 1
x
u
0(x) = −1
x2
x7→ −e
1
x