We will evaluate the following improper integral: ∞ I 1.₁0. dx (x2+3)2 First we will do the indefinite integral S da (x2+3)2 (a) Use the substitution u=²+3 to formulate as an integral with respect to u, filling in the integrand below (remember to use proper Mobius syntax in your function) S 0 (b) Now integrate to get a function of u: du (c) Substitute the value of u interms of x to get an antiderivative in terms of x, we will call this F(x): F(x) =

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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We will evaluate the following improper integral:
∞
1.₁0.
dx
(x²+3)2
First we will do the indefinite integral
I
s
dx
(x²+3)²
(a) Use the substitution u=²+3 to formulate as an integral with respect to u, filling in the integrand below (remember to use proper Mobius syntax in
your function)
S
O
(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 x, we will call this F(x):
F(x) =
Transcribed Image Text:We will evaluate the following improper integral: ∞ 1.₁0. dx (x²+3)2 First we will do the indefinite integral I s dx (x²+3)² (a) Use the substitution u=²+3 to formulate as an integral with respect to u, filling in the integrand below (remember to use proper Mobius syntax in your function) S O (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 x, we will call this F(x): F(x) =
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