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?State the method of integration you would use to perform each integration. Explain why you chose that method. Do not integrate. (a) \(\int x

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson ISBN: 9781285774770 141

Solution for problem 48 Chapter 8.4

Calculus: Early Transcendental Functions | 6th Edition

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Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Calculus: Early Transcendental Functions | 6th Edition

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Problem 48

State the method of integration you would use to perform each integration. Explain why you chose that method. Do not integrate.

(a)  \(\int x \sqrt{x^{2}+1} d x\)

(b)  \(\int x^{2} \sqrt{x^{2}-1} d x\)

Text Transcription:

int x sqrt{x^2 + 1} dx

int x^2 sqrt{x^2 - 1} dx

Step-by-Step Solution:

Step 1 of 5) The spherical wedge closely approximates a cube of these dimensions when rk , fk , and uk are all small (Figure 14.52). It can be shown that the volume of this spherical wedge Vk is Vk = rk 2 sin fk rk fk uk for (rk , fk , uk), a point chosen inside the wedge. The corresponding Riemann sum for a function ƒ(r, f, u) is

Step 2 of 2

Chapter 8.4, Problem 48 is Solved
Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
ISBN: 9781285774770

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?State the method of integration you would use to perform each integration. Explain why you chose that method. Do not integrate. (a) \(\int x