7x2+3x+2 21 Express x+1)-(x-2) 7x2+3x+2 - as partial fractions. Hence, evaluate J, &+1<(x-2) dx

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.4: Partial Fractions
Problem 2SE: Can you explain why a partial fraction decomposition is unique? (Hint: Think about it as a system of...
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Q21
CНАРТER 1
8x +15
2.x' +3x
8x +15
2x' +3x
18 Express
as partial fractions. Hence, evaluate
19 Find the value of A, B,C andD if
x' + 2x +1
C
B
=-++
x2
A
D
x' (x² -1) x
x-1'x+1
x +2x+1
dx
Hence, evaluate
2.x +4x + 3_ A(x² +x +1) + B(2x +1)
x +x +1
20 Find the values of 4 and Bif
x² + x+1
Hence, find
2.x? + 4x + 3
-dx.
x' +x +1
7x2+3x+2
21 Express
7x2+3x+2
as partial fractions. Hence, evaluate , x+1²(x-2)
dx
(x+1)2(x-2)
Transcribed Image Text:CНАРТER 1 8x +15 2.x' +3x 8x +15 2x' +3x 18 Express as partial fractions. Hence, evaluate 19 Find the value of A, B,C andD if x' + 2x +1 C B =-++ x2 A D x' (x² -1) x x-1'x+1 x +2x+1 dx Hence, evaluate 2.x +4x + 3_ A(x² +x +1) + B(2x +1) x +x +1 20 Find the values of 4 and Bif x² + x+1 Hence, find 2.x? + 4x + 3 -dx. x' +x +1 7x2+3x+2 21 Express 7x2+3x+2 as partial fractions. Hence, evaluate , x+1²(x-2) dx (x+1)2(x-2)
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