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154² dx x5 +5 = O The integral is dive

154² dx x5 +5 = O The integral is dive

Advanced Engineering Mathematics
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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8 1.0⁰ 24 x5 + 5 dx = O The integral is divergent.
Transcribed Image Text:8 1.0⁰ 24 x5 + 5 dx = O The integral is divergent.
Expert Solution
Step 1: Given integral

integral subscript 0 superscript infinity fraction numerator x to the power of 4 over denominator x to the power of 5 plus 5 end fraction d x

Assume 

x to the power of 5 plus 5 equals t rightwards double arrow 5 x to the power of 4 d x equals d t rightwards double arrow x to the power of 4 d x equals 1 fifth d t

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