What is the net area between #f(x) = 4/x # and the x-axis over #x in [1, 2 ]#?
1 Answer
May 29, 2018
# 4 ln2 ~~ 2.7725887... #
Explanation:
We seek the net area between
We first note that
# A = int_1^2 \ 4/x \ dx #
# \ \ = 4 [ \ ln |x| \ ]_1^2 #
# \ \ = 4 (ln2-ln1) #
# \ \ = 4 ln2 #