Consider the indefinite integral 7x37x264x + 80 dx x²+16x2 Then the integrand has partial fractions decomposition a b ca+d + + I x²+16 x2 where a = b = C =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 17E
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Consider the indefinite integral
7x37x264x + 80
dx
x4 +16x2
Then the integrand has partial fractions decomposition
a
b
cx+d
+
x2 C
+
x²+16
where
a =
b =
C =
d =
Integrating term by term, we obtain that
7x37x264x+80
dx
x416x2
+C
Transcribed Image Text:Consider the indefinite integral 7x37x264x + 80 dx x4 +16x2 Then the integrand has partial fractions decomposition a b cx+d + x2 C + x²+16 where a = b = C = d = Integrating term by term, we obtain that 7x37x264x+80 dx x416x2 +C
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