(b) Now, lets evaluate the same integral using power series. First, find the power series for the function f(x) = . Then, integrate it from 0 to 2, and call it S. S should be an infinite series , an. What are the first few terms of S? do = a2 = I) The ancwer in nart Gleauak the sum of the infinite series in nart (b) (why2) Hence ifvou divide vour 1135 PM ENG
(b) Now, lets evaluate the same integral using power series. First, find the power series for the function f(x) = . Then, integrate it from 0 to 2, and call it S. S should be an infinite series , an. What are the first few terms of S? do = a2 = I) The ancwer in nart Gleauak the sum of the infinite series in nart (b) (why2) Hence ifvou divide vour 1135 PM ENG
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help with part b

Transcribed Image Text:Calculus Problem Solv X
Sy sum(n=1 to infty) ((x-8)^n)/(8^n) x
C Solved: The Function F(x) = Sin(7 x
634cf005b90037f4013d
Turned in automc
.6 Power Series
OPEN
(a) Evaluate the integral
40
dx.
x2 + 4
Your answer should be in the form ka, where k is an integer. What is the value of k?
(Hint: darctan(z)
da
k= 5
(b) Now, lets evaluate the same integral using power series. First, find the power series for the function
f(x) = 0. Then, integrate it from 0 to 2, and call it S. S should be an infinite series > an.
What are the first few terms of S?
ao =
a2 =
az =
3)
a4 =
(e) The answer in nart a)equale the sum of the infinire series in nart (b) why2) Hence if vou divide vour
1135 PM
ENG
4/8/2021
Delete
%23
is
&
3
17
8.
Backspace
Y.
U
OLL
M
+
. ..
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