tstilion Elles Subs 248x+ %82*

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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tstilion
Elles Subs
248x+
%82*
Transcribed Image Text:tstilion Elles Subs 248x+ %82*
Expert Solution
Step 1

According to the given information it is required to calculate the integral using Euler’s substitution formula:

dx
S-
xVx + 8x +1
Step 2

Now, apply Euler’s substitution and let

Vx + 8x +1 =xt +1
Step 3

Now on squaring both sides:

x* + 8x +1= (xt +1)
x² + 8x +1=x*ť +1+2xt
x² - x²² = 2xt – 8x
x*(1-r) = 2x(t- 4)
2(t-4)
1-t
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