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Get Full Access to Calculus: Early Transcendental Functions - 6 Edition - Chapter 8.6 - Problem 50
Get Full Access to Calculus: Early Transcendental Functions - 6 Edition - Chapter 8.6 - Problem 50

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

ISBN: 9781285774770 141

## Solution for problem 50 Chapter 8.6

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

##### 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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Calculus: Early Transcendental Functions : Increasing and Decreasing Functions and the First DerivativeTest
?Using a Graph In Exercises 1 and 2, use the graph of to find (a) the largest open interval on which f is increasing, and (b) the largest open interval

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