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Unformatted text preview: a, b ] into n subintervals: [ x , x 1 ] , [ x 1 , x 2 ] , ··· , [ x n1 , x n ] where x = a, x n = b, x k +1 = x k + Δ x for 0 ≤ k ≤ n1 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 n1 )Δ x Deﬁnition. The area of the region S bounded by the graph of a nonnegative continuous function f , the xaxis 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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This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .
 Spring '08
 varies
 Calculus

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