If S; (x²-1)(2x-x*) dx can be resolved into A S+ B S f(x)dx + D S g(x)dx , then x²+x-2 lim, ° dx + lim dx. a-1* x-1' b2* b x+2 dx. lim d* + lim a--1* Ja b-2+ lim lim f a-1* 'a x+1 b-2 dx dx.. lim + lim S. a-1* 'a x+1 b-2* x+2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 42E
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Question
x?+x-2
dx
If S
(x2-1)(2x-x²)
dx can be resolved into A S+ BS f(x)dx + D [ g(x)dx , then
dx.
lim d + lim
(A
a--1* Ja x-1
b-2+ b x+2
dx.
lim, ° da + lim
b-2+
a--1* Ja x-1
x-2
dx.
lim + lim -2
dx
a+-1+ 'a x+1
b-2+
lim, + lim ſ.
a-1+ 'a x+1
dx
dx..
b-2+ b x+2
Transcribed Image Text:x?+x-2 dx If S (x2-1)(2x-x²) dx can be resolved into A S+ BS f(x)dx + D [ g(x)dx , then dx. lim d + lim (A a--1* Ja x-1 b-2+ b x+2 dx. lim, ° da + lim b-2+ a--1* Ja x-1 x-2 dx. lim + lim -2 dx a+-1+ 'a x+1 b-2+ lim, + lim ſ. a-1+ 'a x+1 dx dx.. b-2+ b x+2
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