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## Homework Statement

Give an example of a sequence of integrable functions f:R -> R such that f is integrable but f^2 is not integrable. Prove your results.

## The Attempt at a Solution

would 1/sqrt(x) for x ∈ [0,1] work? any other suggestions?

how would you prove that its does work? woudl you just plug it in and show it doesn't work or is there something more to it?

Thanks! I really appreciate your help!