Question

f(x) = square root x   from  a = 4  to  b = 9 (a) Calculate the Riemann sum for...

f(x) =

square root x

  from  a = 4  to  b = 9

(a) Calculate the Riemann sum for the function for the following values of n: 10, 100, and 1000. Use left, right, and midpoint rectangles, making a table of the answers, rounded to three decimal places.

n Left Midpoint Right
10
100
1000


(b) Find the exact value of the area under the curve by evaluating an appropriate definite integral using the Fundamental Theorem. The values of the Riemann sums from part (a) should approach this number. (Round your answer to three decimal places.)
square units

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