1. a. Use the substitution u = e' and partial fraction decomposition to derive the following integration formula: 4e Jezt (pet +q)? |pe +q| 2pe' + 9 + C. e'(pet + q) 4 2p dt = In b. Hence, evaluate 4e e" (6et -1)7dt.

Algebra and Trigonometry (MindTap Course List)
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Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
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integration of rational function using partial fraction

1.
Use the substitution u = et and partial fraction decomposition to derive the
following integration formula:
4e
ezt (pet +q)?
4 [2p
|pe +a|
2pe' + q
+ C.
et (pet + q).
dt=
In
et
b. Hence, evaluate
4e
e" (6et - 1)= dt.
Transcribed Image Text:1. Use the substitution u = et and partial fraction decomposition to derive the following integration formula: 4e ezt (pet +q)? 4 [2p |pe +a| 2pe' + q + C. et (pet + q). dt= In et b. Hence, evaluate 4e e" (6et - 1)= dt.
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