dx x2 + 6x + 18 76.

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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**Practice Exercises**

*7–84. Evaluate the following integrals.*

(Note: This educational resource outlines that students are expected to work on integral evaluation exercises numbered from 7 to 84. The detailed exercises themselves are not included in the image provided. There are no graphs or diagrams to explain in this image. This text appears to be part of a larger set of mathematical practice problems likely found in a textbook or assignment sheet.)
Transcribed Image Text:**Practice Exercises** *7–84. Evaluate the following integrals.* (Note: This educational resource outlines that students are expected to work on integral evaluation exercises numbered from 7 to 84. The detailed exercises themselves are not included in the image provided. There are no graphs or diagrams to explain in this image. This text appears to be part of a larger set of mathematical practice problems likely found in a textbook or assignment sheet.)
Here is the transcription of the given integral problem for inclusion on an educational website:

---

### Calculus Problem 76

Evaluate the integral:

\[ \int \frac{x}{x^2 + 6x + 18} \, dx \]

---

This problem involves integrating a rational function. The numerator is \(x\) and the denominator is a quadratic expression \(x^2 + 6x + 18\).
Transcribed Image Text:Here is the transcription of the given integral problem for inclusion on an educational website: --- ### Calculus Problem 76 Evaluate the integral: \[ \int \frac{x}{x^2 + 6x + 18} \, dx \] --- This problem involves integrating a rational function. The numerator is \(x\) and the denominator is a quadratic expression \(x^2 + 6x + 18\).
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