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 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 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: The limits as n of both the lower and upper sums exist and are equal to each other. That is x m f n s n i i n n ∆ = ∑ = ∞ → ∞ → ) ( lim ) ( lim 1 Where f (mi) and f (Mi) are the minimum and maximum values of f on the i th subinterval. x M f n i i n ∆ = ∑ = ∞ → ) ( lim 1 ) ( lim n S n ∞ → = Defn. of the Area of a Region in the Plane Let f be continuous and nonnegative on the interval [a, b]. The area of the region bounded by the graph of f, the xaxis, and the vertical lines x = a and x = b is x c f Area n i i n ∆ = ∑ = ∞ → ) ( lim 1 Distance 1 →∞ = ∆ ∑ n i ( ) lim f t t Joke Time What is 7Q + 3Q? You’re welcome! How do hearing impaired people greet one another? They sine waves...
View
Full Document
 Fall '08
 JARVIS
 Calculus, Summation, ∆x

Click to edit the document details