2+ In² 1 dx. 4. Evaluate the integral x – x ln x (a) 3 ln |In r – 1| + 2(ln x – 1) + (In x – 1)2 +C (In r. 1)2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Evaluate integral

4. Evaluate the integral / 2+ ln² x
-dx.
x – x ln x
(a) 3 ln |In x – 1|+2(ln x – 1) +
(In r – 1)2
+C
(b) –3 ln |In x – 1| – 2(ln x – 1) –
(In a – 1)?
+ C
-
(c) 3 ln |ln x + 1|+2(ln x + 1) +
(In x + 1)²
+ C
2
(In x + 1)²
+ C
2
(d) –3 ln |ln x + 1| – 2(ln x + 1) –
-
Transcribed Image Text:4. Evaluate the integral / 2+ ln² x -dx. x – x ln x (a) 3 ln |In x – 1|+2(ln x – 1) + (In r – 1)2 +C (b) –3 ln |In x – 1| – 2(ln x – 1) – (In a – 1)? + C - (c) 3 ln |ln x + 1|+2(ln x + 1) + (In x + 1)² + C 2 (In x + 1)² + C 2 (d) –3 ln |ln x + 1| – 2(ln x + 1) – -
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