How do you find the average value of the function for #f(x)=1/x, 1<=x<=4#?
1 Answer
Apr 10, 2017
Explanation:
The
#color(blue)"average value"# is.
#1/(b-a)int_a^bf(x)dx#
#=1/(4-1)int_1^4(1/x)dx#
#=1/3[lnx]_1^4#
#=1/3[ln4-ln1]#
#=lnroot(3)(4)~~0.462" to 3 dec. places"#
