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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 8629 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
  • Annual percentage rate (APR)

    The annual interest rate

  • Augmented matrix

    A matrix that represents a system of equations.

  • Characteristic polynomial of a square matrix A

    det(xIn - A), where A is an n x n matrix

  • Dependent variable

    Variable representing the range value of a function (usually y)

  • Expanded form of a series

    A series written explicitly as a sum of terms (not in summation notation).

  • Function

    A relation that associates each value in the domain with exactly one value in the range.

  • Imaginary part of a complex number

    See Complex number.

  • Irrational zeros

    Zeros of a function that are irrational numbers.

  • Outliers

    Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

  • Parametric curve

    The graph of parametric equations.

  • Permutations of n objects taken r at a time

    There are nPr = n!1n - r2! such permutations

  • Polar equation

    An equation in r and ?.

  • Reciprocal identity

    An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

  • Reflection across the y-axis

    x, y and (-x,y) are reflections of each other across the y-axis.

  • Resistant measure

    A statistical measure that does not change much in response to outliers.

  • Standard deviation

    A measure of how a data set is spread

  • Standard form of a polynomial function

    ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

  • Sum of a finite geometric series

    Sn = a111 - r n 2 1 - r

  • Velocity

    A vector that specifies the motion of an object in terms of its speed and direction.

  • Vertical line

    x = a.

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