i have to describe the construction of the Riemann Integral... in 4-6 sentences.. and i was wondering.. if this is right.. and explains what the question is asking(adsbygoogle = window.adsbygoogle || []).push({});

In order to understand how the Riemann Integral is, we have to understand how area under a curve is taken from a graph. Given n amount of rectangles, the approximated area would simply be Σf(xi)Δx, Δx being the widths and f(xi) being the heights, which is known as a Riemann sum. When you take the lim as n ---> ∞, you get infinitely small rectangles which give the exact area under the curve. Since the integral is defined as the area under the curve, we get the Riemann Integral.

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