Basic Integrals

Question 1

What is the integral of e^x dx?

Answer 1

e^x + C

Question 2

What is the integral of sin x dx?

Answer 2

-cos x + C

Question 3

What is the integral of sec^2 x dx?

Answer 3

tan x + C

Question 4

What is the integral of sec x tan x dx?

Answer 4

sec x + C

Question 5

What is the integral of sinh x dx?

Answer 5

cosh x + C

Question 6

What is the integral of tan x dx?

Answer 6

ln|sec x| + C

Question 7

What is the integral of cos x dx?

Answer 7

sin x + C

Question 8

What is the integral of csc^2 x dx?

Answer 8

-cot x + C

Question 9

What is the integral of csc x cot x dx?

Answer 9

-csc x + C

Question 10

What is the integral of cosh x dx?

Answer 10

sinh x + C

Question 11

What is the integral of cot x dx?

Answer 11

ln|sin x| + C

Question 12

What is the integral of x^n dx?

Answer 12

X^n+1 / n+1 +C

Question 13

What is the integral of 1/x dx

Answer 13

ln lxl + C

Question 14

Integral of tan x

Answer 14

ln|sec x| + C

Question 15

Integral of secx dx

Answer 15

ln |secx + tanx |+C

Question 16

If you are doing a trig sub on the integral “csc”^1 what should you do?

Answer 16

Multiply creatively by one with (cscx-cotx)

Question 17

What is sinh (x) ?

Answer 17

( e^x - e^-x ) /2

Question 18

What is Cosh (x)

Answer 18

( e^x + e^-x ) /2

Question 19

What equals 1 in terms of cosh and sinh

Answer 19

Cosh^2 - sinh^2 = 1

Question 20

What equals 1 in terms of tanch and sech?

Answer 20

1= tanch^2 + sech^2

Question 21

Sinh(-x) =?

Answer 21

-sinch

Question 22

Cosh(-x) =

Answer 22

Cosh(x)

Question 23

Tanh = ?

Answer 23

Sinh/ cosh

Question 24

Sinh (2x) = ?

Answer 24

2sinhxcoshx

Question 25

Cosh(2x) = ?

Answer 25

Cosh^2 x + sinh^2 x

Question 26

Cosh(x) + sinch (x) = ?

Answer 26

e^x