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Solutions for Chapter 5.5: Integration by Substitution

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

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

ISBN: 9781285774770

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Solutions for Chapter 5.5: Integration by Substitution

Solutions for Chapter 5.5
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Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
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
  • Addition principle of probability.

    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

  • Measure of spread

    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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