Evaluate the Integral $$\int _ { 0 } ^ { \pi / 6 } \sin ^ { 3 } 6 x d x$$

question 74

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { \pi / 6 } \sin ^ { 3 } 6 x d x$$

• A) \(\frac { 1 } { 9 }\)
• B) \(\frac { 2 } { 9 }\)
• C) 0
• D) \(\frac { 1 } { 6 }\)

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Definitions:

Two-Way Analysis

A type of analysis used to understand the effect of two independent variables on a dependent variable, often used in the context of statistical tests such as two-way ANOVA.

Two-Way Classification Design

A research design that involves two factors (independent variables), with each factor usually having multiple levels, for the purpose of analyzing how they interact with each other in influencing a response variable.

Non-Directional Dependent Samples Z-Test

A statistical test used when comparing the means of two related samples to determine if there is a significant difference without predicting the direction of the difference.

Randomized Block Design

An experimental design that divides subjects into blocks based on a characteristic before randomly assigning treatments within these blocks to reduce variation and increase the accuracy of the results.