What is it?

Calculus Level 3

\(\int _{ 0 }^{ 1 }{ \left| x \right| \left| 1-x \right| dx} \)

can be expressed as the form \(\frac { a }{ b } \) where \(a\) and \(b\) are co-prime integers what is the the value of \(a+b\).

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