Primitives

Question 1

f(x) = c ; F(x) = ?

Answer 1

F(x) = cx + C

Question 2

f(x) = x^n ; F(x) = ?

Answer 2

F(x) = x^n+1/n+1 +C

Question 3

f(x) = 1/sqrt(x) ; F(x) = ?

Answer 3

F(x) = 2*sqrt(x) +C

Question 4

f(x) = 1/x^n ; F(x) = ?

Answer 4

F(x) = -1/(n-1)*x^n-1 + C

Question 5

f(x) = u’(x) * u^n(x) ; F(x) = ?

Answer 5

F(x) = u^n+1(x)/n+1 +C

Question 6

f(x) = 1/x ; F(x) = ?

Answer 6

F(x) = ln(x) + C

Question 7

f(x) = sin(x) ; F(x) = ?

Answer 7

F(x) = -cos(x) +C

Question 8

f(x) = cos(x) ; F(x) = ?

Answer 8

F(x) = sin(x) +C

Question 9

f(x) = e^x ; F(x) = ?

Answer 9

F(x) = e^x +C

Question 10

f(x) = u’e^u ; F(x) = ?

Answer 10

F(x) = e^u + C

Question 11

f(x) = u’/u F(x) = ?

Answer 11

F(x) = ln(u) + C

Question 12

f(x) = u’ * u^n ; F(x) = ?

Answer 12

F(x) = u^n+1/n+1 + C

Question 13

f(x) = u’/2sqrt(u) ; F(x) = ?

Answer 13

F(x) = sqrt(u) + C

Question 14

f(x) = u’ * cos(u); F(x) = ?

Answer 14

F(x) = sin(u) + C

Question 15

f(x) = u’ sin(u); F(x) = ?

Answer 15

F(x) = -cos(u) + C

Question 16

Lors d’une primitive, qu’est ce que l’on ne doit pas oublier ?

Answer 16

La constante (+ C)

Question 17

Calcule la primitive de f(x) = x(x^2+5)^4 ?

Answer 17

F(x) = (x^2+5)^5/10 +C

Question 18

Calcule la primitive de f(x) = 2x+1/(x^2+x+5)^9

Answer 18

F(x) = -1/8(x^2+x+5) + C