Consider the indefinite integral + 222 – 29z – 21 da. 1² – 9 The integrand decomposes into the form ar + b+ 3 z + 3 where a = b = c = d = Integrating term by term, we obtain that (4x³ + 2z2 – 29r – 21 da = 22 – 9 +C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 27E
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Consider the indefinite integral
(4x3 + 2x2 - 29x – 21
dx.
x2 – 9
The integrand decomposes into the form
d
+
- 3
ах + b +
I + 3
where
a =
b =
c =
d
%3D
Integrating term by term, we obtain that
(4x + 2x2 – 29x – 21
dx =
x2 – 9
+C.
Transcribed Image Text:Consider the indefinite integral (4x3 + 2x2 - 29x – 21 dx. x2 – 9 The integrand decomposes into the form d + - 3 ах + b + I + 3 where a = b = c = d %3D Integrating term by term, we obtain that (4x + 2x2 – 29x – 21 dx = x2 – 9 +C.
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