Calc-1: Integrals

[slant23]

I'm really confused on this problem. All I really need is help getting started, because I'm really unsure on how to begin. Thanks.
The problem is here:

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[Deleted member 4993]

I'm really confused on this problem. All I really need is help getting started, because I'm really unsure on how to begin. Thanks.
The problem is here:
<link removed>

First find the expression for w²

Then find the expression for √(w² - 4)

then express v = f(w)

and continue....

 

[Deleted member 4993]

First find the expression for w²

Then find the expression for √(w² - 4)

then express v = f(w)

and continue....

better yet...

w = \(\displaystyle e^{t\sqrt{gk}} + e^{-t\sqrt{gk}}\)

\(\displaystyle \frac{dw}{dt} \ = \ \sqrt{gk}\left (e^{t\sqrt{gk}} - e^{-t\sqrt{gk}}\right )\)

then

\(\displaystyle \frac{ds}{dt} \ = \ \frac{1}{k}\left (\dfrac{\left (\frac{dw}{dt}\right )}{w} \right )\)

\(\displaystyle \dfrac{\left (\frac{ds}{dt}\right )}{\left (\frac{dw}{dt}\right )} \ = \ \frac{1}{kw}\)

Now continue.......