设f(x)于[a,b]L-可积,若对任意的C∈[a,b],有∫[a,b]f(x)dx=0,则f(x)=0,ae于[a,b].感激不尽

Question

设f(x)于[a,b] L-可积,若对任意的C∈[a,b],有∫[a,b]f(x)dx=0,则f(x)=0,ae于[a,b].感激不尽

Answer 1

你这题是∫f(x)dx=0?如果是,F(x)=∫f(x)dx,F'(x)=f(x)=0