Consider the indefinite integral [3 Then the integrand has partial fractions decomposition a b cx + d x² +9 5x³ +7x²+36x+27 dx x4 +9x² + + x² x where a = b= c= d = Integrating term by term, we obtain that 5x³ +7x²+36x + 27 -dx = x¹ + 9x² +C

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the indefinite integral
x4 + 9x²
Then the integrand has partial fractions decomposition
a b cx + d
+
x² +9
x²
where
a =
b =
C =
+
d =
-
5x³ +7x²+36x + 27
x
·[³
Integrating term by term, we obtain that
5x³+7x²+36x + 27
[²
da =
x¹ + 9x²
-dx
+C
Transcribed Image Text:Consider the indefinite integral x4 + 9x² Then the integrand has partial fractions decomposition a b cx + d + x² +9 x² where a = b = C = + d = - 5x³ +7x²+36x + 27 x ·[³ Integrating term by term, we obtain that 5x³+7x²+36x + 27 [² da = x¹ + 9x² -dx +C
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