Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 59E
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![In x
5. Evaluate the indefinite integral.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6599c7f8-f099-4cc1-93a9-6b27bf55297a%2Fce338b29-a726-4b41-99a3-a444be1458a9%2Fsas667u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In x
5. Evaluate the indefinite integral.
Expert Solution
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Step 1
Substitute,
ln x = t = x = et
differentiate both sides
1/x dx = dt
∫ ln x/x5 dx = ∫ t/x4(dx/x) = ∫ t / e4t dt
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