1. A. Use the following table to estimate the area between f(x) and the x-axis on the interval 0 ? x ? 20. You need to use Reimann sum. x | 0 | 5 | 10 | 15 | 20 f(x) | 15 | 18 | 20 | 16 | 12 B. Use an integral to find the area above the curve y = -e^x + e^(2(x-1)) and below the x-axis, for x ? 0. Make sure to graph and shade the area.
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The Riemann sum is a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician Bernhard Riemann. Given the table, we have the following pairs of x and f(x): (40,20), (20,4), (15,18), (16,?). The last Show more…
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Use the following table to estimate the area between $f(x)$ and the $x$ -axis on the interval $0 \leq x \leq 20.$ $$\begin{array}{r|rrrrr}\hline x & 0 & 5 & 10 & 15 & 20 \\\hline f(x) & 15 & 18 & 20 & 16 & 12 \\\hline\end{array}$$
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