Discrete vs. Continuous

Calculus Level 2

\[\large \sum_{x=1}^n (ax+b) - \int_0^n (ax+b) \, dx = ?\]

Hint: There is a nice geometric interpretation of this that doesn't require any calculus, as long as you understand that the definite integral represents the area between the \(x\)-axis and the function between \(x=0\) and \(x=n\).

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