Calculo

Question 1

∫x^n

Answer 1

x^(n+1)/n+1

Question 2

∫du/u

Answer 2

ln |u|

Question 3

∫e^x

Answer 3

e^x

Question 4

∫sen u

Answer 4

-cos u

Question 5

∫cos u

Answer 5

sen u

Question 6

∫tan u

Answer 6

ln |sec u|

Question 7

∫cot u

Answer 7

ln |sec u + tan u|

Question 8

∫csc u

Answer 8

ln |csc u - cot u|

Question 9

∫sec u tan u

Answer 9

sec u

Question 10

∫csc u cot u

Answer 10

-csc u

Question 11

∫sec^2 u

Answer 11

tan u

Question 12

∫csc^2 u

Answer 12

-cot u

Question 13

∫n

Answer 13

nx

Question 14

Dx n

Answer 14

0

Question 15

Dx x^n

Answer 15

n x^(n-1)

Question 16

Dx f(x)*g(x)

Answer 16

(f(x)Dxg(x)) + (g(x)Dxf(x)

Question 17

Dx f(x)/g(x)

Answer 17

(g(x)Dxf(x)) - (f(x)Dxg(x)) /

g(x)^2

Question 18

Dx ln x

Answer 18

1/u * Dx u

Question 19

Dx e^u

Answer 19

Dx u * e^u

Question 20

Dx log u

Answer 20

Dx u * 1 / u ln base

Question 21

Dx sen u

Answer 21

Dx u * cos u

Question 22

Dx cos u

Answer 22

• Dx u * sen u

Question 23

Dx tan u

Answer 23

Dx u * sec^2 u

Question 24

Dx cot u

Answer 24

• Dx u * csc^2 u

Question 25

Dx sec u

Answer 25

Dx u * sec u tan u

Question 26

Dx csc u

Answer 26

• Dx u * csc u cot u

Question 27

Par

Sen^2 x

Answer 27

1/2 (1 - cos 2x)

Question 28

Sen 2x

Answer 28

2 sen x cos x

Question 29

Cos 2x

Answer 29

Cos^2 x - sen^2 x

Question 30

Par

Cos^2 x

Answer 30

1/2 (1 + cos 2x)

Question 31

Impar

Sen^2 x

Answer 31

1 - cos^2 x

Question 32

Impar

Cos^2 x

Answer 32

1 - sen^2 x

Question 33

csc^2 x

Answer 33

1 + cot^2 x

Question 34

cot^2 x

Answer 34

csc^2 x - 1

Question 35

tan^2 x + 1

Answer 35

sec^2 x

Question 36

cos^2 x

Answer 36

1/2 (1 + cos 4x)

Question 37

sec^2 x

Answer 37

1 + tan^2 x

Question 38

tan^2 x

Answer 38

sec^2 x - 1

Question 39

Fórmula machetera:

Answer 39

(-b +- (b^2-4ac)^1/2) / 2a