Counterpoint: https://www.wolframalpha.com/input/?i=%5Cint_1%5Ewdx%2Fx
Hence there's still a point to trying to live longer, even if the value of each additional time period decreases.
Anyway, that's if you agree that model! There's a couple of other things I'd consider without even examining it's core assumptions: memory fades over time - time earlier in my life might not contribute as much to my perceived time, as recent time does; what if you spend your early life just getting to the place you want to be (resources, self-development etc)? Extra time in that place could be very valuable!