Use the properties of the integrals to rewrite the integral as the sum of the individual integral. cinc t In (t + 9) dt +² - Ince = 2 Submit In(t + 9) Apply the basic integration rule and the log rule. Itin = ¼[/tdt-f t dt- 2 2 31/12/20 = In(t + 9) + / -1² + t In(t + 9) dt In(t + 9) Skip (you cannot come back) dt + +81 In 162 In t + 81 1] + C 1+C + C dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Step 4
Use the properties of the integrals to rewrite the integral as the sum of the individual integral.
1₁
t In(t + 9) dt
- ince
2²B
2
Submit
In(t + 9) -
Apply the basic integration rule and the log rule.
Te
+²
2
21 [/dt-/
t dt
tln(t + 9) dt
In
In(t + 9)
--
2 2
+²
- In(t + 9) + 1/[²2² +
2
4
Skip (you cannot come back)
dt +
+81 In
- 162 In
t +
81
+ C
1] + c
C
dt
Transcribed Image Text:Step 4 Use the properties of the integrals to rewrite the integral as the sum of the individual integral. 1₁ t In(t + 9) dt - ince 2²B 2 Submit In(t + 9) - Apply the basic integration rule and the log rule. Te +² 2 21 [/dt-/ t dt tln(t + 9) dt In In(t + 9) -- 2 2 +² - In(t + 9) + 1/[²2² + 2 4 Skip (you cannot come back) dt + +81 In - 162 In t + 81 + C 1] + c C dt
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