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

question 130

Multiple Choice

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

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

Independent Variables

Factors in an experiment that are manipulated or changed by the researcher to observe their effects on dependent variables.

Dependent Variable

In research, the variable that is being measured or tested to see how it is influenced by changes in another variable (the independent variable).

Correlation Coefficients

Statistical measures that describe the size and direction of a relationship between two or more variables.

Double-Blind Procedure

A research experiment in which neither the participants nor the experimenters know who is receiving a particular treatment, minimizing the risk of bias.