10 a) Evaluate x cos(5 ix by using integration by parts. b) Use the trigonometric substitution x=4 tan0 to evaluate dx. V16 + x? 3x+1 3x +1 c) Decompose into its partial fractions. Hence, evaluate dx. x2 +2x-3 + 2x-3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 12E
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10
a) Evaluate
x cos(5
ix by using integration by parts.
b) Use the trigonometric substitution x=4 tan0 to evaluate
dx.
V16 + x?
3x+1
3x +1
c) Decompose
into its partial fractions. Hence, evaluate
dx.
x2 +2x-3
+ 2x-3
Transcribed Image Text:10 a) Evaluate x cos(5 ix by using integration by parts. b) Use the trigonometric substitution x=4 tan0 to evaluate dx. V16 + x? 3x+1 3x +1 c) Decompose into its partial fractions. Hence, evaluate dx. x2 +2x-3 + 2x-3
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