Homework Help is Here – Start Your Trial Now!
Math
Calculus
You will integrate the following rational function: 20x+5 da S (x-7)(x²-4x+8) To do this, start by writing. 20x+5 (x-7)(x2-4x+8) (a) Put the right-hand side over a common denominator. Enter the numerator of the result. constants: A x-7 (b) Expand the numerator. It is a quadratic in a, which must equal the numerator of the original function. By equating the coefficients you should be able to formulate linear equation in A, B and C. In each case give an equation with the constant part on the right, for example A+ 2 * B = 3. What equation can you deduce from the coefficients of : (d) The last term is in the form Br+C r2-4x+8 + Bx+C x2-4x+8 (c) Solve these three equations, and enter the solution in the form A,B,C Find constants K and J such that B+C = K (2x-4) + J, enter in the form K, J

You will integrate the following rational function: 20x+5 da S (x-7)(x²-4x+8) To do this, start by writing. 20x+5 (x-7)(x2-4x+8) (a) Put the right-hand side over a common denominator. Enter the numerator of the result. constants: A x-7 (b) Expand the numerator. It is a quadratic in a, which must equal the numerator of the original function. By equating the coefficients you should be able to formulate linear equation in A, B and C. In each case give an equation with the constant part on the right, for example A+ 2 * B = 3. What equation can you deduce from the coefficients of : (d) The last term is in the form Br+C r2-4x+8 + Bx+C x2-4x+8 (c) Solve these three equations, and enter the solution in the form A,B,C Find constants K and J such that B+C = K (2x-4) + J, enter in the form K, J

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

cheers

You will integrate the following rational function: 20x+5 1₂ dx (x-7)(x²-4x+8) To do this, start by writing 20x+5 (x-7)(x²-4x+8) (a) Put the right-hand side over a common denominator. Enter the numerator of the result. constants: = (d) The last term is in the form x-7 (b) Expand the numerator. It is a quadratic in , which must equal the numerator of the original function. By equating the coefficients you should be able to formulate linear equation in A, B and C. In each case give an equation with the constant part on the right, for example A+ 2 * B = 3. What equation can you deduce from the coefficients of : 22: Bx+C r2-4x+8 Bx+C 2-4x+8 + (c) Solve these three equations, and enter the solution in the form A,B,C Find constants K and J such that B x + C = K (2x-4) + J, enter in the form K, J
Transcribed Image Text:You will integrate the following rational function: 20x+5 1₂ dx (x-7)(x²-4x+8) To do this, start by writing 20x+5 (x-7)(x²-4x+8) (a) Put the right-hand side over a common denominator. Enter the numerator of the result. constants: = (d) The last term is in the form x-7 (b) Expand the numerator. It is a quadratic in , which must equal the numerator of the original function. By equating the coefficients you should be able to formulate linear equation in A, B and C. In each case give an equation with the constant part on the right, for example A+ 2 * B = 3. What equation can you deduce from the coefficients of : 22: Bx+C r2-4x+8 Bx+C 2-4x+8 + (c) Solve these three equations, and enter the solution in the form A,B,C Find constants K and J such that B x + C = K (2x-4) + J, enter in the form K, J
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

following on from the question above 

(e) Separating out the K and J terms, you now have a term of the form and bottom by a constant you should be able to express this in the form (f) Your rational function is now in the form A 2-7 + K(2x-4) x2-4x+8 Don't forget that the integral of 1/x is In (x), not just In (x). B + J 2-4x+8 L c-r)² $2 L 82 By completing the square in the denominator and possibly dividing top for some constants L, r, s, with s> 0. Enter these in the form L, r, s +1 now evaluate the integral. Use a constant of integration F.
Transcribed Image Text:(e) Separating out the K and J terms, you now have a term of the form and bottom by a constant you should be able to express this in the form (f) Your rational function is now in the form A 2-7 + K(2x-4) x2-4x+8 Don't forget that the integral of 1/x is In (x), not just In (x). B + J 2-4x+8 L c-r)² $2 L 82 By completing the square in the denominator and possibly dividing top for some constants L, r, s, with s> 0. Enter these in the form L, r, s +1 now evaluate the integral. Use a constant of integration F.
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS