Evaluate the improper integral or state that it is divergent. 1 dx x (х2 +8) 1 In 9 O A. 16 О В. In 9 Oc. In 7 O D. Divergent

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Evaluate the improper integral or state that it is divergent.**

\[ \int_{1}^{\infty} \frac{1}{x(x^2 + 8)} \, dx \]

**Options:**

A. \(\frac{\ln 9}{16}\)

B. \(\ln 9\)

C. \(\ln 7\)

D. Divergent
Transcribed Image Text:**Evaluate the improper integral or state that it is divergent.** \[ \int_{1}^{\infty} \frac{1}{x(x^2 + 8)} \, dx \] **Options:** A. \(\frac{\ln 9}{16}\) B. \(\ln 9\) C. \(\ln 7\) D. Divergent
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