Here you go forgetmenot - this is from the horse's mouth the Cochrane Index, which is the collection of good quality evidence used to form the basis of NHS recommendations on medical treatments and protocols.
here
Worth noting - 33 of the 38 studies included in the trial compare outcomes for women with epidurals with women who are sedated (with opioids, and therefore probably not very mobile or even necessarily upright). Also that the studies weren't able to control for the effect of continuous care which is known to be associated with lower rates of c/s. I suspect rates of continuous care were higher in the epidural arm of the trial.
Anyway, to put a figure on Ushy's statement that the impact of epidurals on rates of assisted birth is very small, the figures in the trial are, (from the abstract conclusion)
"...epidural analgesia was associated with an increased risk of assisted vaginal birth (RR 1.42, 95% CI 1.28 to 1.57, 23 trials, 7935 women), maternal hypotension (RR 18.23, 95% CI 5.09 to 65.35, eight trials, 2789 women), motor-blockade (RR 31.67, 95% CI 4.33 to 231.51, three trials, 322 women), maternal fever (RR 3.34, 95% CI 2.63 to 4.23, six trials, 2741 women), urinary retention (RR 17.05, 95% CI 4.82 to 60.39, three trials, 283 women)"
One of the most interesting findings of this trial is that women's satisfaction with labour doesn't seem to be influenced by the type of analgesia they ended up having!
There is one good sized study quoted in the Cochrane review, which compared outcomes for first time mums having continuous midwifery care with mums who have continuous care plus and epidural. The epidural rates in the two arms of the trial were 43% and 51% respectively, so as Ushy says, not a huge difference. However, I'm very shocked and surprised at the incredibly high rates of assisted delivery in BOTH arms of the trial, and wonder why this is so very much higher than the assisted delivery rates in low risk first time mums recorded in the Place of Birth study, which was published in the UK in 2011. Overall for all mums in the UK the assisted delivery rate is only 12.%!