Something Must Be Wrong at this Floor

Calculus Level 5

\[ \large \int _{ 0 }^{ 2 }{ ( { x }^{ 2 }+1 ) \, d\lfloor x \rfloor } \]

Compute the Riemann-Stieltjes integral above.

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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