Formules d’intégration

Question 1

∫ x^r dx =

Answer 1

x^(r+1) / (r+1) + c

Question 2

∫ 1/x dx =

Answer 2

ln |x| + c

Question 3

∫ cos x dx =

Answer 3

sin x + c

Question 4

∫ sin x dx =

Answer 4

-cos x + c

Question 5

∫ sec^2 x dx =

Answer 5

tan x + c

Question 6

∫ csc^2 x dx =

Answer 6

-cot x + c

Question 7

∫ sec x * tan x dx =

Answer 7

sec x + c

Question 8

∫ csc x * cot x dx =

Answer 8

-csc x + c

Question 9

∫ e^x dx =

Answer 9

e^x + c

Question 10

∫ a^x dx =

Answer 10

a^x / lna + c

Question 11

∫ 1/√ (1-x^2) dx =

Answer 11

Arcsin x + c

Question 12

∫ 1/(1+x^2) dx =

Answer 12

Arctan x + c

Question 13

∫ tan x dx =

Answer 13

ln |sec x|+ c ou -ln|cos x| + c

Question 14

∫ cot x dx =

Answer 14

ln |sin x| + c