April 3rd, 2007, 11:23 AM  #1 
Newbie Joined: Apr 2007 Posts: 1 Thanks: 0  How to derive reduction formula?
How can I derive the reduction formula for the integral of dx/(x^2 +1)^n. Very stuck on this problom, all help welcome. I have the correct answer but I need to know how to get there 
April 3rd, 2007, 05:41 PM  #2 
Site Founder Joined: Nov 2006 From: France Posts: 824 Thanks: 7 
I am not sure what you call the reduction formula but I can tell you that integrating by parts your expression will yield an induction relation between I_n, I_(n1) (this will be an affine relation). This is usually done in courses related to the decomposition and integration of rational fractions into simple elements. (I am not going to proceed with the computations here)


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