Find the Indefinite Integral $$\int \frac { \cot ^ { 2 } x } { \cos ^ { 2 } x } d x$$

question 12

Multiple Choice

Find the indefinite integral.
$$\int \frac { \cot ^ { 2 } x } { \cos ^ { 2 } x } d x$$

• A) \(\cos ^ { 2 } x + C\)
• B) \(\tan x + C\)
• C) \(\csc ^ { 2 } x + C\)
• D) \(- \cot x + C\)

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Definitions:

Reflexively

Acting in an automatic or involuntary manner without conscious thought.

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In psychology, it refers to a child's ability to understand that quantities remain constant despite changes in their shape or arrangement, as elaborated by Jean Piaget. In environmental science, it pertains to the preservation and protection of natural resources.

Object Permanence

The concept that things continue to exist even when they are not visible, audible, or tangible.

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A type of attachment characterized by trust, a sense of security, and positive relationships, typically developing from consistent caregiver responses in early childhood.