How can I upload all photos from a burst on the iPhone? I use Dropbox's automatic upload on the iPhone. Whenever I take a photo, it gets uploaded.

But when I take a burst of photos on the iPhone 5s, only one of them is uploaded. I have to go in and tap Select Favorites and mark each one. How can I change it to mark all photos in the burst as Favorites, or get Dropbox to upload all of them?

I find a computer with a big screen much better suited to the task of comparing photos and picking one.
For now, the only way to upload all burst photos to Dropbox natively is to connect your iPhone to a computer with a cable, and let Dropbox Camera Upload sync. There it uploads all the photos, and not just the single image as it does while syncing wirelessly.

I too have struggled with a solution to this problem, and pray that in the future it will be resolved...