Note: You can get full credit for this problem by just answering the last question correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. Consider the indefinite integral fæ5 (4+ 8x6)¹¹dx 11 Then the most appropriate substitution to simplify this integral is 4+8₂.6 น = Then dx = f(x) du where f(x) = After making the substitution we obtain the integral fg(u) du where g(u) = This last integral is: = +C (Leave out constant of integration from your answer.) After substituting back for u we obtain the following final form of the answer: 12 (4+81-6) ² ▲ +C 1 576 (Leave out constant of integration from your answer.)
Note: You can get full credit for this problem by just answering the last question correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. Consider the indefinite integral fæ5 (4+ 8x6)¹¹dx 11 Then the most appropriate substitution to simplify this integral is 4+8₂.6 น = Then dx = f(x) du where f(x) = After making the substitution we obtain the integral fg(u) du where g(u) = This last integral is: = +C (Leave out constant of integration from your answer.) After substituting back for u we obtain the following final form of the answer: 12 (4+81-6) ² ▲ +C 1 576 (Leave out constant of integration from your answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Note: You can get full credit for this problem by just answering the last question correctly. The initial questions are meant as hints
towards the final answer and also allow you the opportunity to get partial credit.
Consider the indefinite integral fæ5 (4+8x6)¹¹ dx
11
Then the most appropriate substitution to simplify this integral is
u = 4 + 8x6
Then dx = f(x) du where
f(x) =
After making the substitution we obtain the integral f g(u) du where
g(u) =
This last integral is: =
+C
(Leave out constant of integration from your answer.)
After substituting back for u we obtain the following final form of the answer:
1
12
576 (4+8
+ 8x-6) ¹2
A +C
(Leave out constant of integration from your answer.)
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