Find the volume of the solid resulting from rotating about the x-axis the region under the curve 1 from x = 0 to x = 5. y = x' + 3x+2 The volume is 49 +In 21 25 а. п cubic units. 144, 9. +In 15 17 b. п cubic units. 25. 9 +In 21 25 c. T cubic units. 25 49 +In 15 17 d. 7 cubic units. 144, 25 +In 25 9 е. п cubic units. 144,

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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**Problem Statement:**

Find the volume of the solid resulting from rotating about the x-axis the region under the curve:

\[ y = \frac{1}{x^2 + 3x + 2} \] 

from \( x = 0 \) to \( x = 5 \).

**The volume is:**

a. \(\pi \left(\frac{25}{21} + \ln \frac{49}{144}\right)\) cubic units.

b. \(\pi \left(\frac{17}{15} + \ln \frac{9}{25}\right)\) cubic units.

c. \(\pi \left(\frac{25}{21} + \ln \frac{9}{25}\right)\) cubic units.

d. \(\pi \left(\frac{17}{15} + \ln \frac{49}{144}\right)\) cubic units.

e. \(\pi \left(\frac{9}{25} + \ln \frac{25}{144}\right)\) cubic units.
Transcribed Image Text:**Problem Statement:** Find the volume of the solid resulting from rotating about the x-axis the region under the curve: \[ y = \frac{1}{x^2 + 3x + 2} \] from \( x = 0 \) to \( x = 5 \). **The volume is:** a. \(\pi \left(\frac{25}{21} + \ln \frac{49}{144}\right)\) cubic units. b. \(\pi \left(\frac{17}{15} + \ln \frac{9}{25}\right)\) cubic units. c. \(\pi \left(\frac{25}{21} + \ln \frac{9}{25}\right)\) cubic units. d. \(\pi \left(\frac{17}{15} + \ln \frac{49}{144}\right)\) cubic units. e. \(\pi \left(\frac{9}{25} + \ln \frac{25}{144}\right)\) cubic units.
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