Evaluate the following integrals. | Ch 7.3 - 11E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 9780321570567 2

Solution for problem 11E Chapter 7.3

Calculus: Early Transcendentals | 1st Edition

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Problem 11E

Evaluate the following integrals.

$\int \frac{d x}{\left(16-x^{2}\right)^{1 / 2}}$

Step-by-Step Solution:

Problem 11E

Evaluate the following integrals.

$\int\limits_{\ }^{\ }\frac{dx}{{\left({16-{x}^{2}}\right)}^{\frac{1}{2}}}$

Solution:-

Step 1

To evaluate this integral we use the method of integration by substitution(change of variable)

But first let’s arrange the integral,

$\int\limits_{\ }^{\ }\frac{dx}{{\left({16-{x}^{2}}\right)}^{\frac{1}{2}}}\ =\ \frac{1}{4}\int\limits_{\ }^{\ }\frac{dx}{\sqrt{1\ -\ {\left({\frac{x}{4}}\right)}^{2}}}\$

Step 2 of 2

Chapter 7.3, Problem 11E is Solved

Textbook: Calculus: Early Transcendentals

Edition: 1

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 9780321570567

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Evaluate the following integrals. | Ch 7.3 - 11E

Solution for problem 11E Chapter 7.3

Chapter 7.3, Problem 11E is Solved

Textbook: Calculus: Early Transcendentals

Edition: 1

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 9780321570567

Other solutions

Discover and learn what students are asking

People also purchased

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