Is there an integration to evaluate the product: F(x)F(x)

The tutors here get to ask the questions.
What do you think? Can you find a u-sub that will work?
Many integrals can be written in the form above!
Consider \(\displaystyle \int f(x)dx\).
\(\displaystyle \int f(x)dx = \int g(x)g(x)dx\) ,where g(x) = sqrt(f(x)).
 
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