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?In Exercises 47-52, verify the integration formula. \(\int u^{n} \cos u d u=u^{n} \sin u-n \int u^{n-1} \sin u d u\)

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

Solution for problem 50 Chapter 8.6

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 50

In Exercises 47-52, verify the integration formula.

\(\int u^{n} \cos u d u=u^{n} \sin u-n \int u^{n-1} \sin u d u\)

Text Transcription:

int u^{n} cos u du = u^n sin u - n int u^{n - 1} sin u du

Step-by-Step Solution:

Step 1 of 5) The formula evaluates the line integral on the left side correctly no matter what parametrization is used, as long as the parametrization is smooth. Note that the parameter t defines a direction along the path. The starting point on C is the position r(a) and movement along the path is in the direction of increasing t (see Figure 15.1).

Step 2 of 2

Chapter 8.6, Problem 50 is Solved
Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
ISBN: 9781285774770

Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. The full step-by-step solution to problem: 50 from chapter: 8.6 was answered by , our top Calculus solution expert on 11/14/17, 10:53PM. Since the solution to 50 from 8.6 chapter was answered, more than 219 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 134 chapters, and 10738 solutions. The answer to “?In Exercises 47-52, verify the integration formula.\(\int u^{n} \cos u d u=u^{n} \sin u-n \int u^{n-1} \sin u d u\)Text Transcription:int u^{n} cos u du = u^n sin u - n int u^{n - 1} sin u du” is broken down into a number of easy to follow steps, and 38 words.

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?In Exercises 47-52, verify the integration formula. \(\int u^{n} \cos u d u=u^{n} \sin u-n \int u^{n-1} \sin u d u\)