3x+4 2.. Compute the following integral using partial fractions decomposition: (x²+4)(3-x) Start by making an explicit partial fractions decomposition "proposal" as shown in the lecture videos. Clear all denominators, then solve for the undetermined constants by organizing all the powers of x and using the “comparing coefficients of powers of .x" approach. Explicitly show the system of equations that results, and show the algebra it takes to solve this system for the undetermined constants. Once the integrand has been transformed, each piece is quickly integrated by using the chain rule backwards. dr.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 7E
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2.. Compute the following integral using partial fractions decomposition:
3x+4
(x²+4)(3-x)
Start by making an explicit partial fractions decomposition “proposal" as shown in the lecture videos. Clear all
denominators, then solve for the undetermined constants by organizing all the powers of x and using the "comparing
coefficients of powers of x" approach. Explicitly show the system of equations that results, and show the algebra it takes
to solve this system for the undetermined constants. Once the integrand has been transformed, each piece is quickly
integrated by using the chain rule backwards.
dx.
Transcribed Image Text:2.. Compute the following integral using partial fractions decomposition: 3x+4 (x²+4)(3-x) Start by making an explicit partial fractions decomposition “proposal" as shown in the lecture videos. Clear all denominators, then solve for the undetermined constants by organizing all the powers of x and using the "comparing coefficients of powers of x" approach. Explicitly show the system of equations that results, and show the algebra it takes to solve this system for the undetermined constants. Once the integrand has been transformed, each piece is quickly integrated by using the chain rule backwards. dx.
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