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.)
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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
Related questions
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdad3d17e-5393-41c3-8ad6-0d21bfb96f9e%2F64266047-15a2-4fbf-a662-a1311967b28b%2Fp195hh_processed.png&w=3840&q=75)
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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