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Solutions for Chapter 7: Techniques of lntegration

Full solutions for Calculus:Early Transcendentals | 7th Edition

ISBN: 9780131569898

Solutions for Chapter 7: Techniques of lntegration

Solutions for Chapter 7
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ISBN: 9780131569898

Summary of Chapter 7: Techniques of lntegration

The basic method of integration by susbtitution. Pattern-mathcing and use of integral tables. Techniques for integrals of products of sines and cosines, secants and tangents.

Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7. Chapter 7: Techniques of lntegration includes 144 full step-by-step solutions. Since 144 problems in chapter 7: Techniques of lntegration have been answered, more than 40425 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Chord of a conic

A line segment with endpoints on the conic

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Divisor of a polynomial

See Division algorithm for polynomials.

• Even function

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

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Left-hand limit of f at x a

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

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Normal distribution

A distribution of data shaped like the normal curve.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• 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.

• Reflexive property of equality

a = a

• Secant

The function y = sec x.

• Unit circle

A circle with radius 1 centered at the origin.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.