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716. Sine substitution Evaluate the following integrals. L 12 0 x2

Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs ISBN: 9780321947345 167

Solution for problem 10 Chapter 7.4

Calculus: Early Transcendentals | 2nd Edition

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Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs

Calculus: Early Transcendentals | 2nd Edition

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Problem 10

716. Sine substitution Evaluate the following integrals. L 12 0 x2 24 - x2 dx

Step-by-Step Solution:
Step 1 of 3

Overview week of 9/12/16 3.3 Rules of Differentiation Power of X: d n (n­1) Power Rule: / Xdx= nX Quotient Rule: / f(x)/g(x) = [(f(x) * g(x)) – (f(x) * g(x))] / [g(x)] 2 dx Product Rule: / [dxx) * g(x)] = [f(x) * g’(x)] + [g(x) * f’(x)] Chain Rule: / [dxg(x))] = [f(g(x))]’ * g’(x) Constant Multiple: Power rule d /dx(cf(x)) = c * f ’(x) 3.4 Product and Quotient Rules Product Rule: While [f(x) +/­ g(x)]’ = f ‘(x) +/­ g’(x), The same does not apply to multiplication And division. [f(x)g(x)] ≠ f ‘(x) * g’(x) Instead: [f(x)g(x)] = [f(x) * g’(x)] + [g(x) * f’(x)] Products of multiple functions: (fg)’ = f’g + fg’ (fgh)’ = f’gh + fg’h + fgh’ (fghi)’ = f’ghi + fg’hi + fgh’i + fghi’

Step 2 of 3

Chapter 7.4, Problem 10 is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 2
Author: William L. Briggs
ISBN: 9780321947345

This full solution covers the following key subjects: . This expansive textbook survival guide covers 128 chapters, and 9720 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. The answer to “716. Sine substitution Evaluate the following integrals. L 12 0 x2 24 - x2 dx” is broken down into a number of easy to follow steps, and 15 words. Since the solution to 10 from 7.4 chapter was answered, more than 241 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 10 from chapter: 7.4 was answered by , our top Calculus solution expert on 12/23/17, 04:24PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345.

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716. Sine substitution Evaluate the following integrals. L 12 0 x2