Determine Whether the Statement Is True or False

question 2

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) 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.
• B) 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.

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Definitions:

Formal Operations

The final stage in Piaget's theory of cognitive development, characterized by the ability to think abstractly, reason logically, and manage ideas in the mind without concrete manipulation.

Sensory-Motor

Referring to the processing of sensory information and motor response.

Preoperational

Referring to Piaget’s developmental stage where children ages 2-7 engage in symbolic play but struggle with logic and taking the perspective of others.

Concrete Operational

A stage in Piaget's theory of cognitive development where children aged 7 to 11 start thinking logically about concrete events.