- #1
Jay9313
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Homework Statement
This is an arc length problem in three dimensions. I was given the vector r(t)=<et, 1, t> from t=0 to t=1
Homework Equations
Arc Length= [itex]\int[/itex] |[itex]\sqrt{r'(t)}[/itex]| dt from t1 to t2
where |[itex]\sqrt{r'(t)}[/itex]| is the magnitude of the derivative of the vector
The Attempt at a Solution
I took the derivative and got the magnitude and simplified it down to
∫ √(e2t+1) dt
I then set u=e2t+1
I then simplified and substituted until I got to:∫[itex]\frac{\sqrt{(u)}}{u-1}[/itex] du
My professor said to use partial fractions from here, but I'm not sure how to do that.