Express the integrand as a sum of partial fractions and evaluate the integra 0x²+2xx-x O 6 In|x-51+tan 1 ¹ (22²) + 0 +C 06 in x-51 + 2 tan¹1 (22²) + C 01-31-¹²)+c tan 06mx-31 ¹+C tan C

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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Question
5)
Express the integrand as a sum of partial fractions and evaluate the integral.
6x²+x+7
(x²+2x(x-5)
dx
0 6in1x-51+tan ¹1 (2/²) + C
0 6 In 1x-51+2 tan¹ (34²) + C
+C
O in/x-51 + 2 tan²¹ (2/2) + C
1
+C
06 in x-51+tan¹ + C
Transcribed Image Text:Express the integrand as a sum of partial fractions and evaluate the integral. 6x²+x+7 (x²+2x(x-5) dx 0 6in1x-51+tan ¹1 (2/²) + C 0 6 In 1x-51+2 tan¹ (34²) + C +C O in/x-51 + 2 tan²¹ (2/2) + C 1 +C 06 in x-51+tan¹ + C
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