Consider the indefinite integral The integrand decomposes into the form ax + b + where a = b = C = d= C x-1 + (3x³ + 3x² + 4x + 0 dx. x² - 1 d x + 1 Integrating term by term, we obtain that 3x³ + 3x² + 4x + 0 1³² dx = x² - 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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
where
The integrand decomposes into the form
ax + b +
a =
b =
C =
d =
C
x-1
+
3x³ + 3x² + 4x + 0
d
x + 1
√³2³ +
Integrating term by term, we obtain that
(3x³ + 3x² + 4x + 0
dx =
x² - 1
x² - 1
dx.
+C.
Transcribed Image Text:Consider the indefinite integral where The integrand decomposes into the form ax + b + a = b = C = d = C x-1 + 3x³ + 3x² + 4x + 0 d x + 1 √³2³ + Integrating term by term, we obtain that (3x³ + 3x² + 4x + 0 dx = x² - 1 x² - 1 dx. +C.
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