This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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)...
View
Full Document
 Spring '08
 varies
 Calculus, nonnegative continuous function

Click to edit the document details