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# Solutions for Chapter 5.5: Integration by Substitution

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 5.5: Integration by Substitution

Solutions for Chapter 5.5
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##### ISBN: 9781285774770

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 122 problems in chapter 5.5: Integration by Substitution have been answered, more than 47737 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Chapter 5.5: Integration by Substitution includes 122 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

• Annuity

A sequence of equal periodic payments.

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Differentiable at x = a

ƒ'(a) exists

• Exponent

See nth power of a.

• Identity function

The function ƒ(x) = x.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Imaginary unit

The complex number.

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

A measure that tells how widely distributed data are.

• nth root of unity

A complex number v such that vn = 1

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Polar equation

An equation in r and ?.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Real axis

See Complex plane.

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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