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A left Riemann sum, a right Riemann sum, and a trapezoidal sum are used to approximate the value of the integral from 0 to 1 of f(x)dx, each using the same number of subintervals. The graph of the function f is shown in the figure. Which of the sums give an underestimate of the value of the integral from 0 to 1 of f(x)dx? I. Left sum II. Right sum III. Trapezoidal sum The answer is I and III. Please explain why this is.
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