How are a, ln, and rn related

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Reference no: EM13181600

Let A be the area under the graph of an increasing continuous function f from a to b, and let Ln and Rn be the approximations to A with n subintervals using left and right endpoints, respectively.

(a) How are A, Ln, and Rn related?

(b) Show that Rn - Ln = (b - a)/n [f(b) - f(a)]
Then draw a diagram to illustrate this equation by showing that the n rectangles representing Rn - Ln can be reassembled to form a single rectangle whose area is the right side of the equation.

Reference no: EM13181600

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