We will evaluate the following improper integral: I [ª da (22+4)2 First we will do the indefinite integral I s da (22+4)2 (a) Use the substitution u = x² + 4 to formulate as an integral with respect to u, filling in the integrand below (remember to use proper Mobius syntax in your function) S (b) Now integrate to get a function of u: du (C) Substitute the value of u interms of a to get an antiderivative in terms of , we will call this F(x): F(x) = AY

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
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Hi, I would like to have the answers to the following question. Please write down detailed explanation for me.

We will evaluate the following improper integral:
[₁-
dx
(x²+4)2
First we will do the indefinite integral
I
/ 12 + 12¹hx
dx
+4)2
(a) Use the substitution u = x² + 4 to formulate as an integral with respect to u, filling in the integrand below (remember to use proper Mobius syntax in
your function)
(b)
Now integrate to get a function of u
du
GP
(C)
Substitute the value of u interms of a to get an antiderivative in terms of , we will call this F(x):
F(x) =
& P
Transcribed Image Text:We will evaluate the following improper integral: [₁- dx (x²+4)2 First we will do the indefinite integral I / 12 + 12¹hx dx +4)2 (a) Use the substitution u = x² + 4 to formulate as an integral with respect to u, filling in the integrand below (remember to use proper Mobius syntax in your function) (b) Now integrate to get a function of u du GP (C) Substitute the value of u interms of a to get an antiderivative in terms of , we will call this F(x): F(x) = & P
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