non differentiable, integrable function

Question

Can a function be unable to be differentiated, but is integrable?

By unable to be differentiated, I mean at any arbitrary x coordinate. Thank you

Thomae's function is integrable over $[0,1]$, but differentiable nowhere. — David Mitra, Jul 05 '13 at 20:26

score 4 · Answer 1 · answered Jul 05 '13 at 20:21

4

answered Jul 05 '13 at 20:21

bryanj

1 Answers1