Basic AntiDerivative Rules

Question 1

k

Answer 1

kx +C

Question 2

x^n, (n not =1)

Answer 2

(x/n+1)+C

Question 3

x^-1

Answer 3

(1/x)+C

Question 4

cosx

Answer 4

sinx+C

Question 5

sinx

Answer 5

-cosx+C

Question 6

sec^2x

Answer 6

tanx+C

Question 7

csc^2x

Answer 7

-cotx+C

Question 8

secxtanx

Answer 8

secx+C

Question 9

cscxcotx

Answer 9

-cscx+C

Question 10

(1/sqrt.(1-x^2))

Answer 10

arcsinx+C

Question 11

(1/1+x^2)

Answer 11

arctanx+C

Question 12

(1/x(sqrt.(x^2-1))

Answer 12

arcsecx+C

Question 13

e^x

Answer 13

e^x+C

Question 14

a^x

Answer 14

(1/lna)(a^x)+C