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March 22nd, 2008, 10:24 AM  #1 
Newbie Joined: Feb 2008 Posts: 16 Thanks: 0  finding length of the curve....
find the length of the curve ; y=ln(cosx), 0<=x<=pi/3 . 
September 1st, 2008, 08:35 AM  #2 
Member Joined: Dec 2006 Posts: 65 Thanks: 0  Re: finding length of the curve....
L(length) = int((1+y’^2) ^0.5)dx (0 to pi/3) = int(1/cosx)dx (0 to pi/3) = int(cosx/(1sin^2x)dx (0 to pi/3) = int(1/(1u^2))du (0 to 3^0.5/2) 1/(1u^2) = 0.5/(1u) + 0.5/(1+u) L = 0.5(ln(1u)) (0 to 3^0.5/2) + 0.5(ln(1+u)) (0 to 3^0.5/2) L = 0.5 ln(2+3^0.5) 

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