Derivatives and Integrals

Question 1

d/dx sin(x) =

Answer 1

cos(x)

Question 2

d/dx tan(x) =

Answer 2

sec²(x)

Question 3

d/dx sec(x) =

Answer 3

sec(x)tan(x)

Question 4

d/dx cos(x) =

Answer 4

-sin(x)

Question 5

d/dx cot(x) =

Answer 5

-csc²(x)

Question 6

d/dx csc(x) =

Answer 6

-csc(x)cot(x)

Question 7

Ssin(x)dx =

Answer 7

-cos(x) + C

Question 8

Stan(x)dx =

Answer 8

-ln|sec(x)| + C

Question 9

Ssec(x)dx =

Answer 9

ln|sec(x) + tan(x)| + C

Question 10

Scos(x)dx =

Answer 10

sin(x) + C

Question 11

Scot(x)dx =

Answer 11

ln|sin(x)| + C

Question 12

Scsc(x)dx =

Answer 12

ln|csc(x) - cot(x)| + C

Question 13

Ssec²(x)dx =

Answer 13

tan(x) + C

Question 14

Scsc²(x)dx =

Answer 14

-cot(x) + C

Question 15

Ssec(x)tan(x)dx =

Answer 15

sec(x) + C

Question 16

Scsc(x)cot(x)dx =

Answer 16

-csc(x) + C

Question 17

d/dx ln(x) =

Answer 17

1/x

Question 18

S(1/x)dx

Answer 18

ln|x| + C

Question 19

d/dx e^x =

Answer 19

e^x

Question 20

d/dx b^x =

Answer 20

b^x•ln(b)

Question 21

Se^xdx =

Answer 21

e^x + C