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16-x dx

16-x dx

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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16-x dx
Transcribed Image Text:16-x dx
Expert Solution
Step 1

Given data:

 

 

The given integral is: Calculus homework question answer, step 1, image 1

Assume x=4sint and differentiate it with respect to t.

Calculus homework question answer, step 1, image 2

The lower limit of t is,

Calculus homework question answer, step 1, image 3

The upper limit of t is,

Calculus homework question answer, step 1, image 4

 

 

 

 

Step 2

Substitute the above-calculated value in the given expression.

Calculus homework question answer, step 2, image 1

Thus, the value of the given integral is 4π.

Step 3

Given data:

 

 

The given integral is: Calculus homework question answer, step 3, image 1.

The given integral can be written as,

Calculus homework question answer, step 3, image 2

Now separately solve both integrals.

Calculus homework question answer, step 3, image 3

 

 

 

 

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