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
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 \( u \).
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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