Determining the length of the curve (ln curve)

[Riazy]

Homework Statement

Determining the length of the curve (ln curve)
{ x = 1 + t + 1 / t
y = 3-2 lnt

between 1<= t <= 2

Homework Equations

Well Using the formula L = $ (from a to b) SQRT[x'(t)]^2 + [y'(t)]^2] dt

The Attempt at a Solution

I have a problem to go further from here, could someone help solve this?

 

[hunt_mat]

Using the formula you gave:

$$L=\int_{1}^{2}\left(1-\frac{1}{t^{2}}\right)^{2}+\left(-\frac{2}{t}\right)^{2}dt$$

Expand and integrate...

 

[SteamKing]

hunt_mat:

I think you left out that the integrand in your expression for the arc length should be under a square root sign.

 

[hunt_mat]

Your right, I have.