Evaluate the integral 29 fx³ (x¹ − 5) ²⁰ dx by making the substitution u = 4 - 5. x² + C NOTE: Your answer should be in terms of and not u.
Evaluate the integral 29 fx³ (x¹ − 5) ²⁰ dx by making the substitution u = 4 - 5. x² + C NOTE: Your answer should be in terms of and not u.
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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Question
![**Integral Evaluation with Substitution**
Evaluate the integral
\[
\int x^3 (x^4 - 5)^{29} \, dx
\]
by making the substitution \( u = x^4 - 5 \).
[Input Box] \( + \, C \)
**NOTE:** Your answer should be in terms of \( x \) and not \( u \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57a80892-6d38-4c33-b12d-e676cd98c4f8%2Ffb539110-c030-49a3-b013-563abbffe9e7%2Fk234jkq_processed.png&w=3840&q=75)
Transcribed Image Text:**Integral Evaluation with Substitution**
Evaluate the integral
\[
\int x^3 (x^4 - 5)^{29} \, dx
\]
by making the substitution \( u = x^4 - 5 \).
[Input Box] \( + \, C \)
**NOTE:** Your answer should be in terms of \( x \) and not \( u \).
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