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1. Homework Statement
Find the length of the spiral of r=1/theta for theta[tex]\geq[/tex]2 [tex]\pi[/tex]
2. Homework Equations
[tex]\int[/tex][tex]\sqrt{r^{2}+r'^{2}}[/tex]
3. The Attempt at a Solution
I thought of the formula for polar arc length, which is the integral of the square root of the sum of the square of r and the square of r'. I tried to evaluate this from 2 [tex]\pi[/tex] to infinity, but could not come up with a definitive answer. I think it might be infinity, but cannot show it legitimately
Find the length of the spiral of r=1/theta for theta[tex]\geq[/tex]2 [tex]\pi[/tex]
2. Homework Equations
[tex]\int[/tex][tex]\sqrt{r^{2}+r'^{2}}[/tex]
3. The Attempt at a Solution
I thought of the formula for polar arc length, which is the integral of the square root of the sum of the square of r and the square of r'. I tried to evaluate this from 2 [tex]\pi[/tex] to infinity, but could not come up with a definitive answer. I think it might be infinity, but cannot show it legitimately