In Exercises 21–32, express the integrand as a sum of partial fractions and evaluate the integrals. 3t2 + t + 4 dt 13 + t dx 21. 22. (x + 1)(x² + 1) y² + 2y + 1 ·dy (y² + 1)² 8x2 + 8x + 2 dx (4x² + 1)² 23. 24. s4 + 81 ds s(s² + 9)²* 2s + 2 ds (s² + 1)(s – 1)³ 26. 25. x + 2 dx x³ – 1 dx 27. 28. x² + x 29. dx 30. dx x4 – 3x? – 4 x* 203 + 50² + 80 + 4 de (02 + 20 + 2)² 31. 04 32. 403 + 202 30 + 1 do (0² + 1)³
In Exercises 21–32, express the integrand as a sum of partial fractions and evaluate the integrals. 3t2 + t + 4 dt 13 + t dx 21. 22. (x + 1)(x² + 1) y² + 2y + 1 ·dy (y² + 1)² 8x2 + 8x + 2 dx (4x² + 1)² 23. 24. s4 + 81 ds s(s² + 9)²* 2s + 2 ds (s² + 1)(s – 1)³ 26. 25. x + 2 dx x³ – 1 dx 27. 28. x² + x 29. dx 30. dx x4 – 3x? – 4 x* 203 + 50² + 80 + 4 de (02 + 20 + 2)² 31. 04 32. 403 + 202 30 + 1 do (0² + 1)³
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Transcribed Image Text:In Exercises 21–32, express the integrand as a sum of partial fractions
and evaluate the integrals.
3t2 + t + 4
dt
13 + t
dx
21.
22.
(x + 1)(x² + 1)
y² + 2y + 1
·dy
(y² + 1)²
8x2 + 8x + 2
dx
(4x² + 1)²
23.
24.
s4 + 81
ds
s(s² + 9)²*
2s + 2
ds
(s² + 1)(s – 1)³
26.
25.
x + 2
dx
x³ – 1
dx
27.
28.
x² + x
29.
dx
30.
dx
x4 – 3x? – 4
x*
203 + 50² + 80 + 4
de
(02 + 20 + 2)²
31.
04
32.
403 + 202
30 + 1
do
(0² + 1)³
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