methods in calculus

Question 1

whats mean value of f(x) in interval [a,b]

Answer 1

1/(b-a) integral b to a of f(x)

Question 2

whats the mean of f(x) + k in [a,b] (ch3)

Answer 2

[mean of f(x)]+ k divided by (b-a)

Question 3

whats the mean of kf(x) in [a,b] (ch3)

Answer 3

k[mean of f(x)] divided by (b-a)

Question 4

whats the mean of -f(x) in [a,b] (ch3)

Answer 4

-[mean of f(x)] divided by (b-a)