Consider the indefinite integral r523 + 2х? — 72х-32 2x2 – 72x dx 16 - Then the integrand decomposes into the form d ax + b + + 4 x + 4 - where a = b = d = Integrating term by term, we obtain that (5x³ + 2x2 72x 32 dx - - 16 +C II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 7E
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Consider the indefinite integral
(5x³ + 2x² – 72x – 32
dx
72х —
x2
16
Then the integrand decomposes into the form
d
+
x + 4
ax + b +
4
where
а 3
b
с 3
%3D
Integrating term by term, we obtain that
*5x³ + 2x²
72x
32
dx =
x2
16
-
+C
Transcribed Image Text:Consider the indefinite integral (5x³ + 2x² – 72x – 32 dx 72х — x2 16 Then the integrand decomposes into the form d + x + 4 ax + b + 4 where а 3 b с 3 %3D Integrating term by term, we obtain that *5x³ + 2x² 72x 32 dx = x2 16 - +C
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