Is f(x)=1/root x an Integrable Function Whose Square is Not?

ss_1985 · Nov 17, 2010

Hi

The question asks to find out a function R--> R such that it is integrable, and its square is not.
Is f(x)=1/root x right?
The problem I thought was its only over an interval

Please help
thanks

mathman · Nov 18, 2010

You can define the function as you stated for 0<x<1 and f(x)=0 otherwise.

Is f(x)=1/root x an Integrable Function Whose Square is Not?

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Is f(x)=1/root x an Integrable Function Whose Square is Not?

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