Question: Write a program that will approximate the area under the function F ( x ) = x ^ 2 - 2 x + 3 by

Write a program that will approximate the area under the function

(

) =

^2 - 2

+ 3

by using both a single rectangle and a single trapezoid, see the figure. The rectangle should use the left bound as the height. The program, when run, prompts the user for the left bound and then the right bound, printing the areas before terminating.

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