- #1
yango_17
- 60
- 1
Homework Statement
Find the arclength parameter s=s(t) for the path
x(t)=e^(at)cos(bt)i + e^(at)sin(bt)j + e^(at)k
Homework Equations
[itex] s(t)=\int_{a}^{t}\left | \mathbf{x}(\tau ) \right |d\tau [/itex]
The Attempt at a Solution
I took the derivative and squared it, arriving at the equation [itex] (-be\sin bt)^{2}+(ae\cos bt))^{2}+(be\cos bt)^{2}+(ae\sin bt)^{2}+(ae^{at})^{2}[/itex]. How would I go about simplifying this in order to take the square root and integrate it? It seems extremely complex to be able to integrate at the moment. Thanks.