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Compute the integral f (z) da, where the graph of f is the red curve given in the following figure. Note: On the graph of
Compute the integral f (z) da, where the graph of f is the red curve given in the following figure. Note: On the graph of f , all points that are relevant for this computation have integer coordinates; the blue line is just for reference and is not the x-axis. un 4- 3- 2- 1 1 2 w 4 5 6 X Answer: F(x)ax - FORMATTING: Give an exact answer. In Mobius, 7 is written pi.5 The goal of this exercise is to approximate the value of the definite integral / (m2 * 1)d:1: using a Riemann sum with left endpoints and 6 subintervals (i.e. 2 using the Riemann sum L6). a) If you sub-divide the interval [2,5] into 6 subintervals of equal length Am, you get 6 subintervals of the form [sci-714%] whose union is the interval [2, 5]. Find the endpoints $0,301 , . . . , 3:6 that define these 6 subintervals. FORMATI'ING: To enter your answer, list the endpoints in the form [3013'1 , . . . , $6] including the square brackets and a comma (,) between endpoints. The endpoints should be exact numbers, ordered from left to right. Answer: [m0,m1,...,m6]= .D b) Compute the exact value of each term ti = f(a:i,1)AzL' of the Riemann sum 1'6 FORMATTING: To enter your answer, list the terms in the form [t1,t2, . . . ,t6] including the square brackets [ ] and a comma (,) between consecutive terms. Each term must be an exact number. Answer: [t1,t2,...,t6]= .D c) Compute the value of the Riemann sum L' Write your answer with an accuracy of two decimal places. Answer: Number
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