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**Unformatted text preview: **a, b ] into n subintervals: [ x , x 1 ] , [ x 1 , x 2 ] , ··· , [ x n-1 , x n ] where x = a, x n = b, x k +1 = x k + Δ x for 0 ≤ k ≤ n-1 Compute R n and L n : R n = f ( x 1 )Δ x + f ( x 2 )Δ x + ··· + f ( x n )Δ x L n = f ( x )Δ x + f ( x 1 )Δ x + ··· + f ( x n-1 )Δ x Deﬁnition. The area of the region S bounded by the graph of a non-negative continuous func-tion f , the x-axis and the vertical lines x = a and x = b is A = lim n →∞ R n = lim n →∞ L n . The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period.-6 v (km/h) 80 40 10 20 30 t (seconds)...

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- Spring '08
- varies
- Calculus, non-negative continuous function