Consider the indefinite integral Then the integrand has partial fractions decomposition a b cx + d x² +9 + x² X where a = b = C = d = 7x³ + 10x² + 36x + 54 x4 + 9x² + Integrating term by term, we obtain that 7x³ + 10x²+36x + 54 -dx = x4 +9x² dx +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 12E
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Consider the indefinite integral
x²
where
a =
Then the integrand has partial fractions decomposition
a
b
cx + d
x² +9
b =
C =
+
d =
J
X
7x³ + 10x²+36x + 54
Integrating term by term, we obtain that
7x³ + 10x² + 36x + 54
J
- dx
x¹ + 9x²
=
x² + 9x²
x4
-dx
+C
Transcribed Image Text:Consider the indefinite integral x² where a = Then the integrand has partial fractions decomposition a b cx + d x² +9 b = C = + d = J X 7x³ + 10x²+36x + 54 Integrating term by term, we obtain that 7x³ + 10x² + 36x + 54 J - dx x¹ + 9x² = x² + 9x² x4 -dx +C
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