Antiderivative Memory Test

Question 1

sinx dx

Answer 1

-cosu +c

Question 2

cosx dx

Answer 2

sin u+c

Question 3

tanu du

Answer 3

ln lsecul+c
-ln lcosul +c

Question 4

cotu du

Answer 4

ln lsinul+c

Question 5

Secu du

Answer 5

ln lsecu+tanul +c

Question 6

Cscu du

Answer 6

ln lcscu-cotul +c
-ln lcscu+cotul +c

Question 7

(1/(1+u^2)) du

Answer 7

tan^-1 u +c

Question 8

-(1/(1+u^2)) du

Answer 8

cot^-1 u +c

Question 9

(1/(u sqrt(u^2-1))) du

Answer 9

sec^-1 u+c

Question 10

-(1/(u sqrt(u^2-1))) du

Answer 10

csc^-1 u+c

Question 11

(1/sqrt(1-u^2)) du

Answer 11

sin^-1 u+c

Question 12

-(1/sqrt(1-u^2)) du

Answer 12

cos^-1 u+c

Question 13

(1/u) du

Answer 13

ln u +c

Question 14

e^u du

Answer 14

e^u +c

Question 15

a^u du

Answer 15

depends on the type of u for substitution