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October 14th, 2012, 08:47 AM  #1 
Newbie Joined: Oct 2012 Posts: 3 Thanks: 0  How to solve this integral?
So, it says: Using the Cauchy integral test, determine convergence: and integral is http://imageshack.us/photo/myimages/38/intja.jpg/ I tried, and it seems that it cannot be solved (just goin round and round). Any idea on this? 
October 14th, 2012, 03:24 PM  #2 
Newbie Joined: Oct 2012 Posts: 3 Thanks: 0  Re: How to solve this integral?
Anyone?

October 14th, 2012, 11:44 PM  #3 
Senior Member Joined: Aug 2011 Posts: 334 Thanks: 8  Re: How to solve this integral?
1/(n*(ln(n)^3)*((ln(ln(n))^2))) < 1/(n*(ln(n)^2)) Integral dx/(x*(ln(x)^2)) = 1/ln(x) is converging for x>infinity 
October 15th, 2012, 10:19 AM  #4 
Newbie Joined: Oct 2012 Posts: 3 Thanks: 0  Re: How to solve this integral?
Thnx 

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