16-x dx

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.3: Complex Numbers
Problem 20E
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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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