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# Solutions for Chapter 6.6: INTEGRATION BY SUBSTITUTION

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 6.6: INTEGRATION BY SUBSTITUTION

Solutions for Chapter 6.6
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##### ISBN: 9781118174920

Chapter 6.6: INTEGRATION BY SUBSTITUTION includes 66 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 66 problems in chapter 6.6: INTEGRATION BY SUBSTITUTION have been answered, more than 33156 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Applied Calculus was written by and is associated to the ISBN: 9781118174920.

Key Calculus Terms and definitions covered in this textbook
• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Binomial

A polynomial with exactly two terms

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Complex fraction

See Compound fraction.

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Event

A subset of a sample space.

• 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.

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Median (of a data set)

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

• 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

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Simple harmonic motion

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

• Singular matrix

A square matrix with zero determinant

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Variance

The square of the standard deviation.

• Velocity

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

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