×
Log in to StudySoup
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.3 - Problem 63e
Join StudySoup for FREE
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.3 - Problem 63e

Already have an account? Login here
×
Reset your password

Using the integral of sec3 u By reduction formula 4 in

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 63E Chapter 7.3

Calculus: Early Transcendentals | 1st Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

4 5 1 237 Reviews
12
1
Problem 63E

Using the integral of sec3 u By reduction formula 4 in Section 7.2.

Graph the following functions and find the area under the curve on the given interval.

f(x) = (9 – x2)–2,

Step-by-Step Solution:
Step 1 of 3

Problem 63E

Solution:-

Step1

Given that

f(x)=    [0,

     =

Step2

To find

Graph the following functions and find the area under the curve on the given interval.

Step3

Graph of following function

Step4

Area=

       =

      Take the partial fraction of

:

         =

    =

Now integrate one by one

=

Apply integral substitution

=

Let u=x+3, du=dx

 =

 =In

 =In

=

Apply integral substitution

=

Let u=x+3, du=dx

 =

===

=In--In-

Step5

Area==In--In-

        =

         =

=)

 = (by using In(27)=1.431)

==0.01676 units

Therefore, The area under the curve on the given interval is 0.01667 units.

Step 2 of 3

Chapter 7.3, Problem 63E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Using the integral of sec3 u By reduction formula 4 in