The task is to find a parametric equation of a curve, if you are given its curvature in arclength parametrisation. I know that I need to integrate but I don’t get the idea of angle theta(what’s it?) and plus there are constants of integration.
Would be very grateful if someone explained how to solve it.
For example:
$$k(s)=\frac1{as\sqrt2}, \text{where }a=\text{constant}$$