· 5x³ + x² + 16x +3 dx (x² +3)² Use the following PFD form as your first step and then begin by multiplying both sides of the given equation by the LCD to clear denominators. Complete your work by using the method of equating coefficients to find the constants. 5x³ + x² + 16x + 3 Ax + B Cx+ D (x² + 3)² (x²+3)² x² + 3 +

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.7: Polynomial Long Division
Problem 7OE
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Find the general anti-derivative using partial fraction decomposition:

5x³+x²+ 16x +3
(x² +3)²
dx
Use the following PFD form as your first step and then begin by multiplying both sides of the given
equation by the LCD to clear denominators. Complete your work by using the method of equating
coefficients to find the constants.
5x³ + x² + 16x +3
Ax + B
(x² +3)²
x² + 3
+
Cx + D
(x²+3)²
Transcribed Image Text:5x³+x²+ 16x +3 (x² +3)² dx Use the following PFD form as your first step and then begin by multiplying both sides of the given equation by the LCD to clear denominators. Complete your work by using the method of equating coefficients to find the constants. 5x³ + x² + 16x +3 Ax + B (x² +3)² x² + 3 + Cx + D (x²+3)²
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