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Home4.3 Riemann Sums & Definite Integrals
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4.3 Riemann Sums & Definite Integrals

Definition: The definite integral is ₐ∫ᵇ f(x) dx = _(n → ∞ )lim [ ᵢ₌₁Σⁿ f(cᵢ) • ∆x ]

if the lim exists & if the width of all subintervals approaches 0 as n → ∞, f is then called Integratable on [a,b]

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