integrale

Question 1

S x^n dx

Answer 1

x^n+1/ n+1 + C

Question 2

S e^x dx

Answer 2

e^x + C

Question 3

S a^x dx

Answer 3

a^x / ln a + C

Question 4

S 1/x dx

Answer 4

ln |x| + C

Question 5

S 1/x+a dx

Answer 5

ln|x+a| + C

Question 6

S 1/x-a dx

Answer 6

ln|x-a| + C

Question 7

S 1 / (x^2 + a^2) dx

Answer 7

1/a arctg x/a +C

Question 8

S 1 / (x^2 - a^2) dx

Answer 8

1/2a ln | x-a/x+a | + C

Question 9

S sin xdx

Answer 9

-cos x + C

Question 10

S cos x dx

Answer 10

sin x + C

Question 11

S 1 / cos^2 x dx

Answer 11

tg x +C

Question 12

S 1 / sin^2 x dx

Answer 12

-ctg x + C

Question 13

S tg x dx

Answer 13

-ln |cos x| + C

Question 14

S ctg x dx

Answer 14

ln |sin x| +C

Question 15

S 1 / \/x^2 + a^2 dx

Answer 15

ln (x + \/x^2 + a^2) + C

Question 16

S 1 / \/x^2-a^2 dx

Answer 16

ln |x + \/x^2-a^2| + C

Question 17

S 1 / \/a^2-x^2 dx

Answer 17

arcsin x/a + C

Question 18

S x / \/x^2+a^2 dx

Answer 18

\/x^2+a^2 + C

Question 19

S x / \/x^2-a^2 dx

Answer 19

\/x^2-a^2 + C

Question 20

S x / \/a^2-x^2 dx

Answer 20

• \/a^2-x^2 + C

Question 21

S cos ax dx

Answer 21

sin ax / a + C

Question 22

S sin ax dx

Answer 22

• cos ax / a + C

Question 23

S e^ax dx

Answer 23

e^ax / a + C

Question 24

S f’x / fx dx

Answer 24

ln |fx| + C