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# Solutions for Chapter 7.2: INTEGRATION BY PARTS

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

ISBN: 9780470888643

Solutions for Chapter 7.2: INTEGRATION BY PARTS

Solutions for Chapter 7.2
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##### ISBN: 9780470888643

Chapter 7.2: INTEGRATION BY PARTS includes 85 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This expansive textbook survival guide covers the following chapters and their solutions. Since 85 problems in chapter 7.2: INTEGRATION BY PARTS have been answered, more than 33165 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Directed distance

See Polar coordinates.

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Imaginary part of a complex number

See Complex number.

• Left-hand limit of f at x a

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

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

A measure that tells how widely distributed data are.

• Normal curve

The graph of ƒ(x) = e-x2/2

• Normal distribution

A distribution of data shaped like the normal curve.

• nth root

See Principal nth root

• Obtuse triangle

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

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Principle of mathematical induction

A principle related to mathematical induction.

• Proportional

See Power function

• Random behavior

Behavior that is determined only by the laws of probability.

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

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