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# Solutions for Chapter 6.2: ANTIDERIVATIVES AND THE INDEFINITE INTEGRAL ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 6.2: ANTIDERIVATIVES AND THE INDEFINITE INTEGRAL

Solutions for Chapter 6.2
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##### ISBN: 9781118174920

Applied Calculus was written by and is associated to the ISBN: 9781118174920. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6.2: ANTIDERIVATIVES AND THE INDEFINITE INTEGRAL includes 92 full step-by-step solutions. Since 92 problems in chapter 6.2: ANTIDERIVATIVES AND THE INDEFINITE INTEGRAL have been answered, more than 31719 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Arctangent function

See Inverse tangent function.

• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Commutative properties

a + b = b + a ab = ba

• Difference identity

An identity involving a trigonometric function of u - v

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Expanded form

The right side of u(v + w) = uv + uw.

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Geometric series

A series whose terms form a geometric sequence.

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Parameter

See Parametric equations.

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Real axis

See Complex plane.

• Scalar

A real number.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Slant asymptote

An end behavior asymptote that is a slant line

• Sum of an infinite series

See Convergence of a series

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

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