Find an Antiderivative of the Given Function $$x ^ { 6 } - \frac { 1 } { x ^ { 6 } }$$

question 260

Multiple Choice

Find an antiderivative of the given function.
- $$x ^ { 6 } - \frac { 1 } { x ^ { 6 } }$$

• A) \(\frac { x ^ { 7 } } { 7 } + \frac { 1 } { 5 x ^ { 5 } }\)
• B) \(\frac { x ^ { 7 } } { 7 } - \frac { 1 } { 7 x ^ { 7 } }\)
• C) \(\frac { x ^ { 7 } } { 6 } - \frac { 1 } { 6 x ^ { 5 } }\)
• D) \(6 x ^ { 5 } + \frac { 1 } { 6 x ^ { 5 } }\)

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Definitions:

Cortical Activation

The process of stimulating areas of the cerebral cortex, leading to increased alertness, attention, and readiness for cognitive activities.

Motivated Forgetting

This is a psychological defense mechanism where individuals unconsciously choose to forget disturbing memories, information, or thoughts as a way to cope or manage stress.

Sigmund Freud

The individual from Austria who established psychoanalysis as a treatment approach, focusing on diagnosing and treating mental illnesses through discussions between a therapist and the individual receiving treatment.

Hermann Ebbinghaus

Hermann Ebbinghaus was a German psychologist who pioneered the experimental study of memory and is known for discovering the forgetting curve.