# What is the net area between #f(x)=(x-3)e^x# in #x in[1,2] # and the x-axis?

##### 1 Answer

Feb 21, 2016

#### Explanation:

Area should always be positive.

Since

#int_1^2 |f(x)| "d"x = int_1^2 -f(x) "d"x#

#= int_1^2 (3-x)e^x "d"x#

#= [(4-x)e^x]_1^2#

#= 2e^2 - 3e#