vault backup: 2025-04-17 09:20:40
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@ -200,6 +200,8 @@ If the area under the curve is found by approximating the space between the curv
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Visualized as a set of rectangles, each rectangle would have a corner on the top curve, and a corner on the bottom curve, with a width of $\Delta x$.
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The height of the rectangle, or the distance between the curves at a given point can be found with the formula $f(x) - g(x)$ where $f(x) \ge g(x)$
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The Riemann Sum definition of the area between two curves is as follows:
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$$ \lim_{n \to \infty} \sum_{i = 0}^n (f(x_i)-g(x_i)\cdot \Delta x)$$
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