Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator) 60 dt 3+ 42 - 5t O-2 + 10lnlt - 1| + 2lnlt + 51 + C O 12 In It| + 10ln|t - 1| + 2lnlt+ 51 +C O -2 In It| + 10lnlt-1] - 2lnlt+ 5l + c O -12 In It| + 10ln2 - 1| +C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 28RE
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Question
Express the integrand as a sum of partial fractions and evaluate
the integral. (Hint: factor the denominator)
60
dt
3+ 412 - 5t
O.- 12 + 10lnlt - 1| + 2lnlt + 51 + C
O -12 In It| + 10lnlt- 1| + 2lnlt+ 5| + C
O -2 In It| + 10ln t-1| - 2ln|t+ 5| +C
O -12 In It| + 10ln|12-1| + C
Transcribed Image Text:Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator) 60 dt 3+ 412 - 5t O.- 12 + 10lnlt - 1| + 2lnlt + 51 + C O -12 In It| + 10lnlt- 1| + 2lnlt+ 5| + C O -2 In It| + 10ln t-1| - 2ln|t+ 5| +C O -12 In It| + 10ln|12-1| + C
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