78. Apparent discrepancy Resolve the apparent discrepancy 1 (x − 1)²|x + 2| between In dx x(x − 1)(x + 2) S dx x(x − 1)(x + 2) In |x − 3 1| + 3 |x|³ In|x + 2| 6 + C and In x 2 + C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 6E
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78. Apparent discrepancy Resolve the apparent discrepancy
(x − 1)² x + 2|
dx
between x(x − 1)(x + 2)
-
In x
dx
x(x − 1)(x + 2)
3
=
1
1|
In
+
|x|³
3
In x + 2
+ C and
In |x|
2
+ C.
Transcribed Image Text:78. Apparent discrepancy Resolve the apparent discrepancy (x − 1)² x + 2| dx between x(x − 1)(x + 2) - In x dx x(x − 1)(x + 2) 3 = 1 1| In + |x|³ 3 In x + 2 + C and In |x| 2 + C.
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