It would depend on the tools you have access to. If you want the piece to be 3/4" thick all the way across, you will need some steam bending apparatus, which is probably out of the scope of your expertise. That's idea #1, and scratch it off the list. Idea #2 only requires patience and a band saw.
Take several pieces of wood as wide as you need the piece to be. Make sure you have enough pieces to make a sandwich (glue all the pieces together to form your blank) and cut it to the final width you require. On the thickness of the piece you now have, draw the curve you require, and bandsaw it to shape, sand, and you're done.
The other thing you could do is make a bending form and make a sandwich of 1/4" - 1/8" pieces, adding them one by one after the glue has dried from the previous piece until you get your final thickness. Saw the ends to even them up, and you're done. Saves you the time and effort of sawing numerous kerfs to bend it, and gives it more stability as well.
If you DO attempt this, please make sure you post what method you chose and why - to help someone else who may be considering this.