dx x2 – 64 First, rewrite this with partial fractions: S, da = f 1/(x+8) dx + [ 1/(x-8) dr = log(x+8) log(x-8) +C. 12-64 (Note that you should not include the +C in your entered answer, as it has been provided at the end of the expression.) Next, use the substitution w = r? 64 to find the integral: S da = S x^2-64 dw = +C = In(x^(2)-64) +C. 1 (For the second answer blank, give your antiderivative in terms of the variable w. Again, note that you should not include the +C in your answer.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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Question
dx
x2 – 64
First, rewrite this with partial fractions:
S, da = f 1/(x+8)
dx + [ 1/(x-8)
dr =
log(x+8)
log(x-8)
+C.
12-64
(Note that you should not include the +C in your entered answer, as it has been provided at the end of the expression.)
Next, use the substitution w = r?
64 to find the integral:
S da = S x^2-64
dw =
+C = In(x^(2)-64)
+C.
1
(For the second answer blank, give your antiderivative in terms of the variable w. Again, note that you should not include the +C in your answer.)
Transcribed Image Text:dx x2 – 64 First, rewrite this with partial fractions: S, da = f 1/(x+8) dx + [ 1/(x-8) dr = log(x+8) log(x-8) +C. 12-64 (Note that you should not include the +C in your entered answer, as it has been provided at the end of the expression.) Next, use the substitution w = r? 64 to find the integral: S da = S x^2-64 dw = +C = In(x^(2)-64) +C. 1 (For the second answer blank, give your antiderivative in terms of the variable w. Again, note that you should not include the +C in your answer.)
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