Estimate the area of the region bounded bythe graph of ƒ(x) = x2 + 2 and the x-axis on [0, 2] in the followingways.Divide [0, 2] into n = 4 subintervals and approximate the areaof the region using a right Riemann sum. Illustrate the solutiongeometrically.
Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
Estimate the area of the region bounded by
the graph of ƒ(x) = x2 + 2 and the x-axis on [0, 2] in the following
ways.
Divide [0, 2] into n = 4 subintervals and approximate the area
of the region using a right Riemann sum. Illustrate the solution
geometrically.
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