# 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 #