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categoryالرياضيات schoolبكالوريوس event_available2026-07-14

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Problem(1) (20 points) Evaluate and approximate f f(x) dx of the functions in Table 1. 12 f(x) Exact value 1/(1+x) 1+2 sin(√) 8/3 6.400 Left endpoint Right endpoint Trapezoid rule Midpoint rule Table 1: Choose number of subintervals n = 4. Problem(2) (20 points) Evaluate and approximate f f(x) dr of the functions in Table 2. 2:2 24 1/(1+) 1+2 sin(√) ex f(x) Exact value 8/3 6.400 Left endpoint Right endpoint Trapezoid rule Midpoint rule Table 2: Choose number of subintervals n = 16. (2 fm) dr of the functions in Table 3 Problem(1) (20 points) Evaluate and approximate f f(x) dx of the functions in Table 1. f(x) Exact value 24 8/3 6.400 1/(1+r) 1+2 sin(√) Left endpoint Right endpoint Trapezoid rule Midpoint rule Table 1: Choose number of subintervals n = 4. Problem(2) (20 points) Evaluate and approximate f f(x) dr of the functions in Table 2. 2:2 f(x) x4 1/(1+) √1+x2 sin(√) e Exact value 8/3 6.400 Left endpoint Right endpoint Trapezoid rule Midpoint rule Table 2: Choose number of subintervals n = 16. (2 fm) dr of the functione in Table 3.

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