Antiderivatives

Question 1

1

Answer 1

x

Question 2

x^n

Answer 2

x^n+1/n+1

Question 3

e^x

Answer 3

e^x

Question 4

1/x

Answer 4

ln x

Question 5

n^x

Answer 5

n^x/ln n

Question 6

Cos x

Answer 6

Sin x

Question 7

Sin x

Answer 7

-cos x

Question 8

Sec^2 x

Answer 8

Tan x

Question 9

csc ^2 x

Answer 9

-cot x

Question 10

tan x sec x

Answer 10

sec x

Question 11

cot x csc x

Answer 11

-csc x

Question 12

1/ sq (1-x^2)

Answer 12

Arcsin x

Question 13

-1/ sq (1-x^2)

Answer 13

Arccos x

Question 14

1/(1+x^2)

Answer 14

Arctan x

Question 15

-1/(1+x^2)

Answer 15

Arccot x

Question 16

1/x sq(x^2-1)

Answer 16

Arcsec x

Question 17

-1/x sq(x^2-1)

Answer 17

Arccsc x

Question 18

Average Value formula

Answer 18

1/(b-a) * function

Question 19

Odd function

Answer 19

F(-x) = -f(x)

Question 20

Even function

Answer 20

f(-x) = f(x)

Question 21

Half angle for sin^2x

Answer 21

1/2 (1-cos(2x)

Question 22

Half angle for cos^2x

Answer 22

1/2 (1+cos(2x)

Question 23

Cos and sin are odd

Answer 23

Save 1 and u-sub

Question 24

Cos and sin are even

Answer 24

Half angle

Question 25

Integral of sec x

Answer 25

Ln(sec x +tan x) +c