Compute the length of the curve

r(t)=<2t,ln(t),t^2> from 1 to 2

i found r'(t), i just need help finding the square root of (4+1/t^2+4t^2)

thanks in advance!

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- Nov 26th 2008, 05:56 PMcasesamlength of a curve help needed
Compute the length of the curve

r(t)=<2t,ln(t),t^2> from 1 to 2

i found r'(t), i just need help finding the square root of (4+1/t^2+4t^2)

thanks in advance! - Nov 26th 2008, 06:13 PMskeeter
$\displaystyle 4t^2 + \frac{1}{t^2} + 4 =$

$\displaystyle \frac{4t^4 + 1 + 4t^2}{t^2} =$

$\displaystyle \frac{(2t^2 + 1)^2}{t^2}$