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April 11th, 2017, 07:20 PM  #1 
Member Joined: Feb 2017 From: henderson Posts: 36 Thanks: 0  Find the area of the region between the curve I've asked a similar problem on here already (still waiting for a reply) but it has something new to this one, the horizontal part of it isnt it just 0? 
April 11th, 2017, 07:38 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond 
Hi Bobbyjoe and welcome to the forum. You need to evaluate $$8\int_2^4\ln(x)\,dx$$ Can you proceed? 
April 11th, 2017, 07:42 PM  #3 
Member Joined: Feb 2017 From: henderson Posts: 36 Thanks: 0  
April 11th, 2017, 07:51 PM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond 
The definite integral I gave will give the area between $8\ln(x)$ and the $x$axis. The length of the curve of $8\ln(x)$ is above $y=0$ for the interval $[2,4]$.

April 11th, 2017, 07:53 PM  #5 
Member Joined: Feb 2017 From: henderson Posts: 36 Thanks: 0  
April 12th, 2017, 04:53 AM  #6 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894  

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