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  • https://math.libretexts.org/Under_Construction/Purgatory/Book%3A_Active_Calculus_(Boelkins_et_al.)/04%3A_The_Definite_Integral/4.02%3A_Riemann_Sums
    A Riemann sum is simply a sum of products of the form f(xi)Δx that estimates the area between a positive function and the horizontal axis over a given interval. If the function is somet...A Riemann sum is simply a sum of products of the form f(xi)Δx that estimates the area between a positive function and the horizontal axis over a given interval. If the function is sometimes negative on the interval, the Riemann sum estimates the difference between the areas that lie above the horizontal axis and those that lie below the axis.
  • https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Active_Calculus_(Boelkins_et_al.)/04%3A_The_Definite_Integral/4.02%3A_Riemann_Sums
    A Riemann sum is simply a sum of products of the form f(xi)Δx that estimates the area between a positive function and the horizontal axis over a given interval. If the function is somet...A Riemann sum is simply a sum of products of the form f(xi)Δx that estimates the area between a positive function and the horizontal axis over a given interval. If the function is sometimes negative on the interval, the Riemann sum estimates the difference between the areas that lie above the horizontal axis and those that lie below the axis.
  • https://math.libretexts.org/Courses/Hope_College/Math_126_-_Calculus_with_Review_II/03%3A_The_Definite_Integral/3.02%3A_Riemann_Sums
    A Riemann sum is simply a sum of products of the form f(xi)Δx that estimates the area between a positive function and the horizontal axis over a given interval. If the function is somet...A Riemann sum is simply a sum of products of the form f(xi)Δx that estimates the area between a positive function and the horizontal axis over a given interval. If the function is sometimes negative on the interval, the Riemann sum estimates the difference between the areas that lie above the horizontal axis and those that lie below the axis.

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