For a function f that is continuous on [a, b], Definition5.4.5 says that the net signed

Chapter 5, Problem 26

(choose chapter or problem)

For a function f that is continuous on [a, b], Definition 5.4.5 says that the net signed area A between $y=f(x)$ and the interval [a, b] is

$A=\lim _{n \rightarrow+\infty} \sum_{k=1}^{n} f\left(x_{k}^{*}\right) \Delta x$

Give geometric interpretations for the symbols $n, x_{k}^{*}, \text { and } \Delta x$. Explain how to interpret the limit in this definition.

Equation Transcription:

$y=f(x)$

$A=\lim\limits_{{n} \rightarrow {+\infty{}}}\sum\limits_{k=1}^{n}f({x}_{k}^{*})\triangle{}x$

$n,\ {x}_{k}^{*},\ and\ \triangle{}x$

Text Transcription:

y=f(x)

A=lim _n right arrow + infinity sum_k=1 ^n f(x_k ^* ) delta x

n, x_k ^* ,and delta x

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Login