Board Thread:Dark Souls/@comment-25013562-20140602081624/@comment-83.67.101.181-20140606190140

Following up on running up the stairs, once you're at the top if you hug the wall you can follow the ledge to the left, over the archway. The Capra Demon can't hit you, and will fall off to the ground. Jump down after him and do the falling attack, then run up the stairs again and repeat till dead. A lot of the bosses in this game seem stupidly difficult at first, until you find the strategy to beat them. I'm on my first playthrough as well, and am finding that the case.