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# Solutions for Chapter 5.4: Indefinite Integrals and the Net Change Theorem

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 5.4: Indefinite Integrals and the Net Change Theorem

Solutions for Chapter 5.4
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##### ISBN: 9781305270336

This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Since 74 problems in chapter 5.4: Indefinite Integrals and the Net Change Theorem have been answered, more than 42723 students have viewed full step-by-step solutions from this chapter. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 5.4: Indefinite Integrals and the Net Change Theorem includes 74 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Common logarithm

A logarithm with base 10.

• Complex fraction

See Compound fraction.

• Compounded continuously

Interest compounded using the formula A = Pert

• Elimination method

A method of solving a system of linear equations

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Length of a vector

See Magnitude of a vector.

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Period

See Periodic function.

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Sine

The function y = sin x.

• Solve by substitution

Method for solving systems of linear equations.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Transformation

A function that maps real numbers to real numbers.

• Vertical line

x = a.

• Zero of a function

A value in the domain of a function that makes the function value zero.