Determine whether the following statements are true and give an explanation or c

Question

Determine whether the following statements are true and give an explanation or counterexample a. If f is a constant function on the interval [a,b], then the right and left Riemann sums give the exact value of f(x) dx for any n. Is the statement true or false? Explain. O A. True, the area under a constant function is a rectangle, so the rectangles of a Riemann sum cover exactly the whole area. O B. False; the left and right Riemann sums only give an exact value for values of n that are very large. ° C. True: the Riemann sum gives an approximation of an integral and never an exact value O D. False; only a midpoint Riemann sum will give an exact value of the integral.

Explanation / Answer

As given f (x) is a constant function

The integral givea just area under rectangle.

Hence the statement is True.

Option A. Is true.

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