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Solutions for Chapter 4.1: Antiderivatives and Indefinite Integration

Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 4.1: Antiderivatives and Indefinite Integration

Solutions for Chapter 4.1
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ISBN: 9780618502981

Chapter 4.1: Antiderivatives and Indefinite Integration includes 97 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780618502981. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 97 problems in chapter 4.1: Antiderivatives and Indefinite Integration have been answered, more than 78360 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Axis of symmetry

See Line of symmetry.

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Inductive step

See Mathematical induction.

• Local extremum

A local maximum or a local minimum

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Obtuse triangle

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

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Parameter

See Parametric equations.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

The graph in three dimensions of a seconddegree equation in three variables.

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Semiperimeter of a triangle

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

• Sum identity

An identity involving a trigonometric function of u + v

• Third quartile

See Quartile.

• Unit ratio

See Conversion factor.

• Xmin

The x-value of the left side of the viewing window,.

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