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Evaluate the following integrals. | Ch 7.3 - 32E

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

Solution for problem 32E 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 32E

Evaluate the following integrals.

Step-by-Step Solution:
Step 1 of 3

Problem 32E

Evaluate the following integrals.

                         dx.

Answer;

Step-1

          The given integral is  

         By  the substitution method we can evaluate the limit .

                     For our convenience  let , us take  x = 3 sin(p)  (or) x = 3 cos(p)

                       Let  x = 3 sin(p) , that implies  = sin(p) = , = cos(p) = , and tan(p) =  =  , cot (p)  = …………..(1)

   Then the integrand becomes =

         

                                                                 = , since = 9.

                                                                  =  

                                                                    = ,

                                                                                      since (p) += 1 , and  = 9.

                                                                   =  = cot(p) cosec(p) ,

                                                                                   since = cosec(p) , = cot(p)

                                  Therefore , if x = 3 sin(p) , then =...

Step 2 of 3

Chapter 7.3, Problem 32E is Solved
Step 3 of 3

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

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Evaluate the following integrals. | Ch 7.3 - 32E

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