Let A be the area of the region that lies under the graph of f(x) = 2x^2 + 5 between x = 0 and x = 4. Using right endpoints find expressions for A as a limit. Evaluate the limit without using the Fundamental Theorem of Calculus.
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.
Let A be the area of the region that lies under the graph of f(x) = 2x^2 + 5 between x = 0 and x = 4. Using right endpoints find expressions for A as a limit. Evaluate the limit without using the Fundamental Theorem of Calculus.
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