Observe the roots, don't expand

Calculus Level 2

\[ \large \int_{\color{green}1}^{\color{blue}7} (x-\color{green}1)(x-\color{blue}7) \, dx = \ \color{grey}? \]

Bonus: Can you generalize this for \( \displaystyle \int_A^B (x-A)(x-B) \ dx \)?

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