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Solutions for Chapter 5: Integrals

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

ISBN: 9781305270336

Solutions for Chapter 5: Integrals

Solutions for Chapter 5
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
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. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 5: Integrals includes 73 full step-by-step solutions. Since 73 problems in chapter 5: Integrals have been answered, more than 38148 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Common logarithm

    A logarithm with base 10.

  • Direction of an arrow

    The angle the arrow makes with the positive x-axis

  • End behavior asymptote of a rational function

    A polynomial that the function approaches as.

  • Equivalent vectors

    Vectors with the same magnitude and direction.

  • Exponential form

    An equation written with exponents instead of logarithms.

  • Fibonacci numbers

    The terms of the Fibonacci sequence.

  • Finite sequence

    A function whose domain is the first n positive integers for some fixed integer n.

  • Hyperboloid of revolution

    A surface generated by rotating a hyperbola about its transverse axis, p. 607.

  • Logarithmic function with base b

    The inverse of the exponential function y = bx, denoted by y = logb x

  • Nautical mile

    Length of 1 minute of arc along the Earth’s equator.

  • Negative numbers

    Real numbers shown to the left of the origin on a number line.

  • nth root of unity

    A complex number v such that vn = 1

  • Orthogonal vectors

    Two vectors u and v with u x v = 0.

  • Polar form of a complex number

    See Trigonometric form of a complex number.

  • Positive angle

    Angle generated by a counterclockwise rotation.

  • Right angle

    A 90° angle.

  • Sphere

    A set of points in Cartesian space equally distant from a fixed point called the center.

  • Term of a polynomial (function)

    An expression of the form anxn in a polynomial (function).

  • Upper bound for ƒ

    Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

  • Weighted mean

    A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

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