×
Log in to StudySoup
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 62e
Join StudySoup for FREE
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 62e

Already have an account? Login here
×
Reset your password

Solved: Fractional powers Use the indicated substitution

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

Solution for problem 62E Chapter 7.4

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 1 310 Reviews
27
5
Problem 62E

Problem 62E

Fractional powers

Use the indicated substitution to convert the given integral to an integral of a rational function. Evaluate the resulting integral.

Step-by-Step Solution:

Problem 62E

Fractional powers Use the indicated substitution to convert the given integral to an integral of a rational function. Evaluate the resulting integral.

Answer;

Step 1

                    Definition of a Rational Function;  A rational  function is a function that is a fraction  and has a property that  both its  numerator  and denominator  are polynomials . In other words , R(x) is  a rational function if R(x) =  where p(x) and q(x) are both polynomials , and q(x) recall that a polynomial is any function of the form  f(x) = a +bx+ c+.............. +n, where a,b , c ……………….n  are all real numbers and the exponents of each x is a non -negative integer.

            Proper fraction definition ; In a rational fraction  , if the degree of f(x) < the degree of g(x) , then the rational fraction is called a proper fraction.

         The sum of two proper fractions is a proper fraction.

                                  Example;

    Partial fractions Depending upon the nature of factors of Denominator ;

  1. When the denominator has non-repeated linear factors;

                             A non - repeated linear factor (x-a) of denominator corresponds a partial fraction of the form  , where A is a constant to be determined’

                 

      If g(x) = (x-a)(x-b)(x-c)............(x-n), then we assume that

                       =  ++ +...............+

Where A, B, C,............N are constants which can be determined by equating the numerator of L.H.Sto the numerator of R.H.S , and substituting x = a,b ,c ….n.

Step 2 of 2

Chapter 7.4, Problem 62E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Fractional powers Use the indicated substitution to convert the given integral to an integral of a rational function. Evaluate the resulting integral.” is broken down into a number of easy to follow steps, and 22 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 62E from 7.4 chapter was answered, more than 253 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 62E from chapter: 7.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: integral, convert, Fractional, function, given. This expansive textbook survival guide covers 112 chapters, and 5248 solutions.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Solved: Fractional powers Use the indicated substitution