√√x² +4x-5 x+2 1 -dx
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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![The expression shown is a definite integral:
\[
\int_{1}^{4} \frac{\sqrt{x^2 + 4x - 5}}{x + 2} \, dx
\]
This integral represents the area under the curve of the function \(\frac{\sqrt{x^2 + 4x - 5}}{x + 2}\) from \(x = 1\) to \(x = 4\). The function involves a square root in the numerator and a linear polynomial in the denominator. Solving such integrals often involves techniques like substitution or partial fraction decomposition, depending on the complexity of the integrand.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91985bb1-953e-473b-9347-b367b72812a3%2F52aad18b-71a6-40fe-9b45-bfabb92cc4de%2Fqetst4d_processed.png&w=3840&q=75)
Transcribed Image Text:The expression shown is a definite integral:
\[
\int_{1}^{4} \frac{\sqrt{x^2 + 4x - 5}}{x + 2} \, dx
\]
This integral represents the area under the curve of the function \(\frac{\sqrt{x^2 + 4x - 5}}{x + 2}\) from \(x = 1\) to \(x = 4\). The function involves a square root in the numerator and a linear polynomial in the denominator. Solving such integrals often involves techniques like substitution or partial fraction decomposition, depending on the complexity of the integrand.
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