(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
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
+
. ..
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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