- #1
benjyk
- 10
- 0
I am trying to calculate the arc length of a sine wave.
Using [tex]s=\int_{}^{}\sqrt[]{1 + {(\frac{dy}{dx})}^{2}}dx[/tex]
if y = sinx, dy/dx = cosx
So the integral simplyfies to [tex]s=\int_{}^{}\sqrt[]{1 + {cos}^{2}(x)}dx[/tex]
However I do not know any integration technique (ie. substitution, by parts, etc..) with which I can calculate this integral analytically.
If you can think of any other way of going about this, any help would be greatly appreciated.
Benjy
Using [tex]s=\int_{}^{}\sqrt[]{1 + {(\frac{dy}{dx})}^{2}}dx[/tex]
if y = sinx, dy/dx = cosx
So the integral simplyfies to [tex]s=\int_{}^{}\sqrt[]{1 + {cos}^{2}(x)}dx[/tex]
However I do not know any integration technique (ie. substitution, by parts, etc..) with which I can calculate this integral analytically.
If you can think of any other way of going about this, any help would be greatly appreciated.
Benjy