Evaluate the integral LIVITA using the two following different methods. a) Rewrite this integral as f de and use the following triangle to create a trig substitution. √x6+4 dr √x6 +4 2 Hint: Use tan(0) = 2 to find do. b) Rewrite the integral as S6 partial fraction decomposition. Note: The next page is left blank as extra space for this problem. Also, your solutions to (a) and (b) will likely look different, though if you've done everything correctly, they will be equivalent. de and use the change of variables u = √6 + 4 followed by

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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Evaluate the integral
] =
using the two following different methods.
1
7:5
x6 √x6+4
x√x6 +4
da
x3
a) Rewrite this integral as f√4 de and use the following triangle to create a trig substitution.
x6 +4
A
2
x3
Hint: Use tan(0) to find do.
b) Rewrite the integral as f
partial fraction decomposition.
Note: The next page is left blank as extra space for this problem. Also, your solutions to (a) and (b)
will likely look different, though if you've done everything correctly, they will be equivalent.
de and use the change of variables u = x6+4 followed by
Transcribed Image Text:Evaluate the integral ] = using the two following different methods. 1 7:5 x6 √x6+4 x√x6 +4 da x3 a) Rewrite this integral as f√4 de and use the following triangle to create a trig substitution. x6 +4 A 2 x3 Hint: Use tan(0) to find do. b) Rewrite the integral as f partial fraction decomposition. Note: The next page is left blank as extra space for this problem. Also, your solutions to (a) and (b) will likely look different, though if you've done everything correctly, they will be equivalent. de and use the change of variables u = x6+4 followed by
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