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Solutions for Chapter 8: Techniques of Integration

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Solutions for Chapter 8: Techniques of Integration

Solutions for Chapter 8
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Textbook: Thomas' Calculus
Edition: 12
Author: George B. Thomas Jr.
ISBN: 9780321587992

This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. This expansive textbook survival guide covers the following chapters and their solutions. Since 116 problems in chapter 8: Techniques of Integration have been answered, more than 53743 students have viewed full step-by-step solutions from this chapter. Chapter 8: Techniques of Integration includes 116 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Additive inverse of a complex number

    The opposite of a + bi, or -a - bi

  • Compound fraction

    A fractional expression in which the numerator or denominator may contain fractions

  • Determinant

    A number that is associated with a square matrix

  • Directed line segment

    See Arrow.

  • Ellipsoid of revolution

    A surface generated by rotating an ellipse about its major axis

  • Empty set

    A set with no elements

  • equation of a quadratic function

    ƒ(x) = ax 2 + bx + c(a ? 0)

  • General form (of a line)

    Ax + By + C = 0, where A and B are not both zero.

  • Linear equation in x

    An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

  • Observational study

    A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

  • Obtuse triangle

    A triangle in which one angle is greater than 90°.

  • Paraboloid of revolution

    A surface generated by rotating a parabola about its line of symmetry.

  • Partial fraction decomposition

    See Partial fractions.

  • Riemann sum

    A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

  • Right-hand limit of ƒ at x a

    The limit of ƒ as x approaches a from the right.

  • Root of a number

    See Principal nth root.

  • Symmetric property of equality

    If a = b, then b = a

  • Tree diagram

    A visualization of the Multiplication Principle of Probability.

  • Vertex form for a quadratic function

    ƒ(x) = a(x - h)2 + k

  • Vertical stretch or shrink

    See Stretch, Shrink.