Which of the following integrals could be the partial fraction decomposition of cosx dx (Sin x-Sin²x) B C + + (t-1) D Et+F A) S dt (t2+1). t2 (t+1) Dt+E + (t2+1), B B) S dt (t-1) (t+1) B Ct C) S E + (t²+1). dt it t2 (t2–1) B Ct Et D) S dt (t²+1), t2 (t2-1) E) S ( + Dt+E dt (t2+1), (t-1) (t+1)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 59E
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Question
Which of the following integrals could be the partial fraction decomposition of
cosx dx
(Sin x-Sin²x)
?
A) S+
A.
B
C
D
Et+F
+
(t2+1)
dt
t
t2
(t-1)
(t+1)
B
C
Dt+E
B) S (+
dt
(t2+1).
(t-1)
(t+1)
B
Ct
E
C) S
dt
(t2+1).
t2
(t2–1)
D) S (G
E) S+
Ct
+
(t2-1)
Et
dt
|
t
t2
(t2+1).
Dt+E
+
(t²+1)
(22+1)) dt
(t-1)
(t+1)
Transcribed Image Text:Which of the following integrals could be the partial fraction decomposition of cosx dx (Sin x-Sin²x) ? A) S+ A. B C D Et+F + (t2+1) dt t t2 (t-1) (t+1) B C Dt+E B) S (+ dt (t2+1). (t-1) (t+1) B Ct E C) S dt (t2+1). t2 (t2–1) D) S (G E) S+ Ct + (t2-1) Et dt | t t2 (t2+1). Dt+E + (t²+1) (22+1)) dt (t-1) (t+1)
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