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# Solutions for Chapter 5: Integrals ## Full solutions for Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) | 6th Edition

ISBN: 9780495011699 Solutions for Chapter 5: Integrals

Solutions for Chapter 5
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##### ISBN: 9780495011699

This expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780495011699. Since 329 problems in chapter 5: Integrals have been answered, more than 17584 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals (Available 2010 Titles Enhanced Web Assign), edition: 6. Chapter 5: Integrals includes 329 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Axis of symmetry

See Line of symmetry.

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Exponent

See nth power of a.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Limit to growth

See Logistic growth function.

• 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

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Phase shift

See Sinusoid.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Slant line

A line that is neither horizontal nor vertical

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Vertex of a cone

See Right circular cone.

• yz-plane

The points (0, y, z) in Cartesian space.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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