Find the most general antiderivative of the function. f(x) = (x + 2)(2x − 1)   It is not true that if F and G are antiderivatives of f and g, respectively, then  F · G  is an antiderivative of  f · g.  Therefore, in order to find the antiderivative of  (x + 2)(2x − 1),  we must first expand this product, obtaining ________ x2 + 3x − __________

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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Find the most general antiderivative of the function.

f(x) = (x + 2)(2x − 1)
 
It is not true that if F and G are antiderivatives of f and g, respectively, then 
F · G
 is an antiderivative of 
f · g.
 Therefore, in order to find the antiderivative of 
(x + 2)(2x − 1),
 we must first expand this product, obtaining
________ x2 + 3x − __________
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