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KataKoniK
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When calculating Lf(P) and Uf(P) there can be many different answers correct? Provided that you solved it properly.
KataKoniK said:When calculating Lf(P) and Uf(P) there can be many different answers correct? Provided that you solved it properly.
KataKoniK said:When calculating Lf(P) and Uf(P) there can be many different answers correct? Provided that you solved it properly.
A Riemann sum is a method used in calculus to approximate the area under a curve by dividing it into smaller rectangles and adding up their areas.
A Riemann sum is calculated by multiplying the width of each rectangle by the height of the function at a specific point within that rectangle, and then adding up all of these products.
The purpose of using Riemann sums is to estimate the area under a curve when it is not possible to find the exact value using traditional methods. It is also used to introduce the concept of integration in calculus.
In a left Riemann sum, the height of each rectangle is determined by the function value at the left endpoint of the interval. In a right Riemann sum, the height of each rectangle is determined by the function value at the right endpoint of the interval. In a midpoint Riemann sum, the height of each rectangle is determined by the function value at the midpoint of the interval.
The more rectangles used in a Riemann sum, the more accurate the approximation will be. As the number of rectangles approaches infinity, the Riemann sum will approach the actual area under the curve.