Consider the integral x²1 – 6x14 + 8x7 – 26 dx (x³ – 4x² + 3x)° (x+ – 81)² Enter a T or an F in each answer space below to indicate whether or not a term of the given type occurs in the general form of the complete partial fractions decomposition of the integrand. A1, A2, A3 ... and B1, B2, B3, ... denote constants. You must get all of the answers correct to receive credit. A7x+B, 1. (x+3)? Azx+B, 2. x2+9 3. x4 В 4. x+3 B1 5. x-3 6. A1x? (a product, not a fraction!) 7. A2x+B, (x++81)² B4 8. 114

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.4: Partial Fractions
Problem 1SE: Can any quotient of polynomials be decomposed into at least two partial fractions? If so, explain...
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Consider the integral
x21 — 6х14 + 8х7 — 26
-
dx
(x3 – 4x2 + 3x)³ (x4 – 81)²
Enter a T or an F in each answer space below to indicate whether or not a term of the given type occurs in the general form of the complete partial
fractions decomposition of the integrand. A1, A2, A3 ..
You must get all of the answers correct to receive credit.
and B1, B2, B3, ... denote constants.
..
A7x+B7
1.
(x+3)?
2 A3x+B3
x2+9
B5
3.
x4
B6
4.
x+3
BỊ
5.
x-3
6. A1x? (a product, not a fraction!)
A2x+B2
7.
(x+81)²
B4
8.
(x-1)4
Transcribed Image Text:Consider the integral x21 — 6х14 + 8х7 — 26 - dx (x3 – 4x2 + 3x)³ (x4 – 81)² Enter a T or an F in each answer space below to indicate whether or not a term of the given type occurs in the general form of the complete partial fractions decomposition of the integrand. A1, A2, A3 .. You must get all of the answers correct to receive credit. and B1, B2, B3, ... denote constants. .. A7x+B7 1. (x+3)? 2 A3x+B3 x2+9 B5 3. x4 B6 4. x+3 BỊ 5. x-3 6. A1x? (a product, not a fraction!) A2x+B2 7. (x+81)² B4 8. (x-1)4
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