Determine Whether the Statement Is True or False

question 294

Multiple Choice

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. If f and g are integrable, then

• A) True. The indefinite integral of a difference of two integrable functions is equal to the difference of their indefinite integrals. The indefinite integral of a constant multiple of a function is equal to the constant multiple of the indefinite integral of the function.
• B) False. The indefinite integral of a difference of two integrable functions is not equal to the difference of their indefinite integrals. The indefinite integral of a constant multiple of a function is equal to the constant multiple of the indefinite integral of the function.

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Definitions:

Streak

The color of a mineral's powder when rubbed across a rough hard surface, used as a diagnostic property in mineral identification.

Magnetism

A property of materials that causes them to attract or repel other materials based on the presence of a magnetic field.

Specific Gravity

The proportion between the density of a material and the density of a reference material, usually water, given a certain temperature.

Specific Gravity

The ratio of the density of a substance to the density of a reference substance, typically water for liquids and solids, or air for gases.