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CalculusCalculus (MindTap Course List)8th Edition

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Chapter 3.9, Problem 9E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Find the most general antiderivative of the function. (Check your answer by differentiation.)

f ( x ) = 2

To determine

To find:

The most general antiderivative of the given function.

Explanation

1) Concept:

If F is an antiderivative of f on an interval I, then the most general antiderivative of f on I is,Fx+C where C  is an arbitrary constant.

Definition:

A function F  is called an antiderivative of f on an interval I if

F'x=fx for all x in I.

3) Formula:

Power rule of antiderivative

ddx xn+1n+1=xn

3) Given:

fx=2

4) Calculation:

The given function is fx=2  which is a constant function.

To find the most general antiderivative of f, use the power rule of antiderivative.

Power rule of antiderivative

ddx xn+1n+1=xn

Which gives,

2 x0+10+1 ++C

<

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Chapter 3.9,
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Finding an Equation of a Line In Exercises 31 and 32, find an equation of the line that passes through the poin...

Calculus

Explain how a researcher using simple random sampling can still obtain a biased sample.

Research Methods for the Behavioral Sciences (MindTap Course List)

A researcher has a sample of 30 rats that are all cloned from the same source. The 30 rats are genetically iden...

Research Methods for the Behavioral Sciences (MindTap Course List)

Solve each inequality and express the solution using interval notation. |x+2||x+1|

College Algebra (MindTap Course List)

In 2011, home prices and mortgage rates fell so far that in a number of cities the monthly cost of owning a hom...

Statistics for Business & Economics, Revised (MindTap Course List)

Determine the circular pitch of a gear with a whole depth dimension of 0.465 in. Round the answer to 4 decimal ...

Mathematics For Machine Technology

A real estate investor has the opportunity to purchase land currently zoned residential. If the county board ap...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Kyle and Lygia are going to play a series of Trivial Pursuit games. The first person to win four games will be ...

Introduction To Statistics And Data Analysis

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