Post a New Question


posted by .

Find the average rate of change of the function over the given interval. You must reduce and simplify your answer, if possible.

a. f(x)=cot x, [pi/6, pi/2]

b. f(theta)= -2 + cos (theta), [-pi, 0]

  • calculus -

    I'll tackle the first one. The second one will be left for you as an exercise.

    f(x)=cot x, [pi/6, pi/2]
    To find the average rate of change over the interval, we divide the definite integral by the interval, namely:
    =∫f(x)dx / (π/2-π/6)
    =∫cot(x)dx / (π/3)
    =[ln(sin(x))] /(π/3)

Answer This Question

First Name:
School Subject:

Related Questions

More Related Questions

Post a New Question