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# Solutions for Chapter 7.5: NUMERICAL METHODS FOR DEFINITE INTEGRALS

## Full solutions for Calculus: Single Variable | 6th Edition

ISBN: 9780470888643

Solutions for Chapter 7.5: NUMERICAL METHODS FOR DEFINITE INTEGRALS

Solutions for Chapter 7.5
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##### ISBN: 9780470888643

Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. Since 56 problems in chapter 7.5: NUMERICAL METHODS FOR DEFINITE INTEGRALS have been answered, more than 33486 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.5: NUMERICAL METHODS FOR DEFINITE INTEGRALS includes 56 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Additive inverse of a complex number

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

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Branches

The two separate curves that make up a hyperbola

• Cosecant

The function y = csc x

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Double-angle identity

An identity involving a trigonometric function of 2u

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Identity function

The function ƒ(x) = x.

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Partial sums

See Sequence of partial sums.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Velocity

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

• Venn diagram

A visualization of the relationships among events within a sample space.

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