How do you find the average value of #f(x)=1/x# as x varies between #[2,3]#? Calculus Applications of Definite Integrals The Average Value of a Function 1 Answer Jim H Dec 16, 2016 The average value of #f# on #[a,b]# is #1/(b-a)int_a^b f(x) dx# Explanation: #1/(3-2)int_2^3 1/x dx = ln(3/2)# Answer link Related questions The profit (in dollars) from the sale of x lawn mowers is ... What is the average value of the function #f(x)=(x-1)^2# on the interval from x=1 to x=5? What is the average value of the function #u(x) = 10xsin(x^2)# on the interval #[0,sqrt pi]#? What is the average value of the function #f(x)=cos(x/2) # on the interval #[-4,0]#? What is the average value of the function #f(x) = x^2# on the interval #[0,3]#? What is the average value of the function #f(t)=te^(-t^2 )# on the interval #[0,5]#? What is the average value of the function #f(x) = x - (x^2) # on the interval #[0,2]#? What is the average value of the function #f(t) = t (sqrt (1 + t^2) )# on the interval #[0,5]#? What is the average value of the function #f(x) = sec x tan x# on the interval #[0,pi/4]#? What is the average value of the function #f(x) = 2x^3(1+x^2)^4# on the interval #[0,2]#? See all questions in The Average Value of a Function Impact of this question 1332 views around the world You can reuse this answer Creative Commons License