4In this problem you will calculate2x dx by using the formal definition of the definite integral:nf(x) dx = limIE f(x*)Axk=1(a) The interval [2, 4] is divided into n equal subintervals of length Ax. What is Ax (in terms of n)?Ax%D(b) The right-hand endpoint of the kth subinterval is denoted x*. What is x* (in terms of k and n)?%3D(c) Using these choices for x* and Ax, the definition tells us that4n2х dx —D limE f(x;)Axk=1What is f(x)Ax (in terms of k and n)?f(x)Ax =n(d) Express E f(x*)Ax in closed form. (Your answer will be in terms of n.)k=1nE f(x;)Ax =k=1(e) Finally, complete the problem by taking the limit as n → o of the expression that you found in the previous part.4n2х dxlim Ef(x)Ax%Dk=1

The procedure described in this question is called Finding the Riemann sum and then taking it's…

In this problem you will calculate 2x dx by using the formal definition of the definite integral: f(x) dx n-00 k=1 (a) The interval [2, 4] is divided into n equal subintervals of length Ax. What is Ax (in terms of n)? Ax = (b) The right-hand endpoint of the kth subinterval is denoted x. What is x (in terms of k and n)?

In this problem you will calculate 2x dx by using the formal definition of the definite integral: f(x) dx n-00 k=1 (a) The interval [2, 4] is divided into n equal subintervals of length Ax. What is Ax (in terms of n)? Ax = (b) The right-hand endpoint of the kth subinterval is denoted x. What is x (in terms of k and n)?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks