Find the Indefinite Integral $\int \tan ^ { 3 } x \sec ^ { 2 } x d x$

question 11

Multiple Choice

Find the indefinite integral. $\int \tan ^ { 3 } x \sec ^ { 2 } x d x$

• A) \(- \frac { 1 } { 6 } \tan ^ { 3 } x \sec ^ { 2 } x + C\)
• B) \(\frac { 1 } { 12 } \tan ^ { 4 } x \sec ^ { 3 } x + C\)
• C) \(\frac { 1 } { 4 } \tan ^ { 4 } x + C\)
• D) \(\frac { 1 } { 4 } \tan ^ { 4 } x \sec ^ { 4 } x + C\)
• E) \(\frac { 1 } { 4 } \sec ^ { 4 } x + C\)

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Definitions:

Cohesion

The degree to which members of a group or team are united in pursuing common goals and how well they stick together.

One-Dimensional

Lacking depth or complexity; containing only one aspect or dimension.

Affective

Relating to moods, feelings, and attitudes; the emotional aspect of consciousness as opposed to cognitive or behavioral aspects.

Instrumental

Serving as a means or tool to achieve a desired goal or end.