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2. (10 pts) a) (3 pts) Write the Riemann sum with n rectangles and left-hand endpoints for the physical area between the function f(x) =
2. (10 pts) a) (3 pts) Write the Riemann sum with n rectangles and left-hand endpoints for the physical area between the function f(x) = In(x) and the r-axis, where x E [1, 4]. You do not need to simplify your answer or explain how you obtained it. b) (7 pts) The sum S = > K2 is a Riemann sum with n rectangles for the function k=1 g(x) = x2 on the interval [0, 1]. i. Does S use left-hand endpoints, right-hand endpoints, or midpoints? Explain. ii. Use S to find the exact physical area between g(x) and the r-axis on [0, 1]
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