Find the Integral $$\int \tan ^ { 2 } x \sec ^ { 6 } x d x$$

question 114

Multiple Choice

Find the integral.
$$\int \tan ^ { 2 } x \sec ^ { 6 } x d x$$

• A) \(\frac { 1 } { 7 } \tan ^ { 7 } x + \frac { 2 } { 5 } \tan ^ { 5 } x + \frac { 1 } { 3 } \tan ^ { 3 } x + C\)
• B) \(\frac { 1 } { 5 } \tan ^ { 5 } x + \frac { 2 } { 3 } \tan ^ { 3 } x + \tan x + C\)
• C) \(\frac { 1 } { 5 } \tan ^ { 5 } x + \frac { 2 } { 3 } \tan ^ { 3 } x - \tan x + C\)
• D) \(\frac { 1 } { 7 } \tan ^ { 7 } x + \frac { 2 } { 5 } \tan ^ { 5 } x - \frac { 1 } { 3 } \tan ^ { 3 } x + C\)

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Definitions:

Population Standard Deviation

A measure of the amount of variation or dispersion of a set of values in a population.

Data

A compilation of statistics and information for analysis or reference purposes.

Equal

Having the same value, quantity, measure, or significance in comparison.

Set of Data

A collection of related pieces of information, typically measurements or observations, that are analyzed to derive a conclusion.