Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions. x2 + 2x + 1 ㅇ폭- 2x-3Inlx +11 +1 +C (x + 1)2 O2- 2x + 3lnlx+ 1| - +C Ox- 2x + 3lnlx + 1] + +C x+1 3 + C (x + 1)2 3lnlx- 21 + x+1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 49E
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Evaluate the integral by first performing long division on the
integrand and then writing the proper fraction as a sum of
partial fractions.
-dx
x2 + 2x +1
+C
ㅇ폭- 2x-3Inlx + 1l +
(x + 1)2
○ 폭-2x+ 3lnlx +1l - +C
X+1
O * - 2x + 3lnlx + 1| + + c
x+1
2
3
O 3lnlx - 2| +
x+1
1
+C
(x + 1)2
Transcribed Image Text:Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions. -dx x2 + 2x +1 +C ㅇ폭- 2x-3Inlx + 1l + (x + 1)2 ○ 폭-2x+ 3lnlx +1l - +C X+1 O * - 2x + 3lnlx + 1| + + c x+1 2 3 O 3lnlx - 2| + x+1 1 +C (x + 1)2
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