Hi Jonasx,
Yes, Phasor is quite correct, to reverse the direction
just apply the live to the other winding.
However, its not a good idea to use a switch to do this.
These type of motors are strongly synchronous in running,
they are generally unwilling to reverse direction when
running, they just usually treat the trailing winding as
additional load, and get a bit hotter.
The motor should be switched off before reversing.
You may find that it doesn't need to stop completely,
often just slowing to near stop will be enough.
Best of luck with it, John