Exam 4

Question 1

Sin(x)

Answer 1

-cos(x) +C

Question 2

Cos(x)

Answer 2

Sin(x) +C

Question 3

Sec^2(x)

Answer 3

tan(x) +C

Question 4

sec(x)tan(x)

Answer 4

sec(x) +C

Question 5

csc^2(x)

Answer 5

-cot(x) + C

Question 6

csc(x)cot(x)

Answer 6

-csc(x) +C

Question 7

e^kx

Answer 7

e^kx/k + C

Question 8

1/x

Answer 8

ln [x] + C

Question 9

Linear Approximation Formula

Answer 9

L(x) = f(a) + f’(a) (x-a) is linearization of f at a

Question 10

F ave formula

Answer 10

1/b-a ∫^b a f(x) dx

Question 11

mean value theorem

Answer 11

f is continuous on [a,b], then there exists a number c in [a,b] such that f(c) = 1/b-a ∫^b a f(x) dx