T tutor01 Member Joined Jul 21, 2005 Messages 46 Gender Male HSC N/A Jun 30, 2012 #1 Given I_n = integral of x^n divided by sqrt(x^2-a^2) dx show that nI_n - (n-1)a^2I_(n-2)=x^(n-1)sqrt(x^2-a^2). I can't prove it. Can anyone help. Note I_n means I then subscript n like for recurrence integral questions. Thanks!