Express the integrand as a sum of partial fractions and evaluate the integral. 2x²+x+1 (x²+3)(x - 5) dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 35E
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Express the integrand as a sum of partial fractions and evaluate the integral.
2x2 + x + 1
(x² +3)(x - 5)
dx
④ In lx-1-² tani
+
B 2in |x-5 + tan1
2In |x-5|
2in |x-51
+
+
學
學
tan-1
tan-1
+ C
x3
+ C
學
+ C
+ C
Transcribed Image Text:Express the integrand as a sum of partial fractions and evaluate the integral. 2x2 + x + 1 (x² +3)(x - 5) dx ④ In lx-1-² tani + B 2in |x-5 + tan1 2In |x-5| 2in |x-51 + + 學 學 tan-1 tan-1 + C x3 + C 學 + C + C
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