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# Solutions for Chapter 4: Integration

## Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 4: Integration

Solutions for Chapter 4
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##### ISBN: 9780618149162

Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Chapter 4: Integration includes 85 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 85 problems in chapter 4: Integration have been answered, more than 23606 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• Direct variation

See Power function.

• Directed line segment

See Arrow.

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Factored form

The left side of u(v + w) = uv + uw.

• Imaginary axis

See Complex plane.

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• nth root of a complex number z

A complex number v such that vn = z

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Rectangular coordinate system

See Cartesian coordinate system.

• Reflection

Two points that are symmetric with respect to a lineor a point.

• Reflexive property of equality

a = a

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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