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

[ss_1985]

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]

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