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## Homework Statement

If [tex] f(x) = x^2 - x - \int_0^1 f(x) dx [/tex], find [tex]\int_0^2f(x) dx[/tex]

## Homework Equations

## The Attempt at a Solution

I found [tex]\int_0^2f(x) dx = \frac{2}{3} - 2 \int_0^1 f(x) dx[/tex]

Is it possible the answer in numerical value? If yes, please guide me. Thanks