Evaluate the following integrals. | Ch 7.3 - 12E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 12E Chapter 7.3

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 12E

Evaluate the following integrals.

Step-by-Step Solution:

Solution:-

Step 1</p>

We have to integrate

To evaluate this integral we use the method of integration by parts.

I =  

Multiplying and dividing the integrand by ,we get

I =

                        =    

 Now, taking I1 =  and I2 =

I = 36I1   I2

Step 2</p>

To solve for I1 = ,we go ahead with the method of integration by substitution.

But first let’s arrange the integral,

 

Going ahead with the method of integration by substitution,  put  Differentiating   , we get

Changing the variable in the integral, we get

I1 =

 

                              

The integral we have now, we use the formula    

Putting in the value for t , we obtain the integral

I1 =

Step 3 of 3

Chapter 7.3, Problem 12E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Since the solution to 12E from 7.3 chapter was answered, more than 256 students have viewed the full step-by-step answer. This full solution covers the following key subjects: evaluate, Integrals. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Evaluate the following integrals.” is broken down into a number of easy to follow steps, and 4 words. The full step-by-step solution to problem: 12E from chapter: 7.3 was answered by Sieva Kozinsky, our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321570567.

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