Now, beginning from were they were after cross, you trace the remaining 6 F2L pieces through the the first slot placement moves. In the applet, I show the FR slot.
Again, it may help to begin tracing from the beginning, just to be sure (though that will take more time, undesirable in speed memorization).
Note that the applet shows both the edge and corner being traced. Normally you would actually trace them separately (occasionally, though, it is not difficult to do both).
Also notice that while the corner is lifted out of the slot after a few moves, the edge stays in place. This is a really nice feature of F2L: when you're working on one slot, all the others remain unaffected, and you do not need to trace the pieces in those slots, because they will not move. Just be careful; sometimes, for example, you will use a different slot to pair an F2L, and then those pieces will move -in this solve, I do that for the first an third slots, BL and FL. In those cases, though, you can often skip a few moves.

This will look familiar; if you trace the three remaining slots through the BL slot placement, you will find that they end up as follow (Left to right: FL, BR, FR)

Again, I have a mental ordering of the remaining F2Ls (white -> yellow -> orange). In this case, I skip over BL and remember FL, BR, and FR (or I might remember BL as being placed-remember that the colors just represent order).

Again, though you wouldn't "see" it, the cube would be in this state.

I solved the FR slot next, with U F U' F2' U F. The three applets show:
#1: FL slot placement
#1: Principal sticker tracing during FR slot placement(FL-black, BR-white)
#1: F2L piece movement during FR slot placement
(Remember that these are just visualizations)

Next, I did FL: U' R' U' R L' U L
#1: FL slot placement
#1: Principal sticker tracing during FL slot placement(FR-black, FL-white, BR-yellow)
#1: F2L piece movement during FL slot placement

Finally, I completed F2L with BR: B U B' U B U' B'
#1: BR slot placement
#1: Principal sticker tracing during BR slot placement
#1: F2L piece movement during BR slot placement

I won't go thoroughly through example #2, but here is my solution to F2L. Remember that I had an extended cross at FL. The BL corner was placed after cross, which also helped out (see the 2-gen trick). The applets on the right show:
-Tracing the principal stickers: white-FL (placed), yellow-BL, orange-BR, red-FR
-The actual movement of the slot pieces during F2L

Also, here is the entire F2L of example #1: