- #1
cinlef
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Am studying for an analysis final, and I've come across a problem that's left me totally stumped... I feel like I must be missing something. Could anyone give me a hand here?
Assume g(x) is strictly increasing and continuous on [a,b]. Suppose g(b)-g(a)=1. Find all continuous functions, f such that, let
int f dg=1
int f2 dg=1
Where the integrals are taken from a to b (apologies for the lack of Latex skill)
Honestly not sure where to start. Any tips?
Homework Statement
Assume g(x) is strictly increasing and continuous on [a,b]. Suppose g(b)-g(a)=1. Find all continuous functions, f such that, let
int f dg=1
int f2 dg=1
Where the integrals are taken from a to b (apologies for the lack of Latex skill)
The Attempt at a Solution
Honestly not sure where to start. Any tips?