Determine the Area of the Given Region $y = x + \sin x , 0 \leq x \leq \pi$

question 36

Multiple Choice

Determine the area of the given region.
$y = x + \sin x , 0 \leq x \leq \pi$

• A) \(0.5 \pi ^ { 2 } + 2\)
• B) \(2 \pi ^ { 2 } + 1\)
• C) \(0.5 \pi ^ { 2 } + 5\)
• D) \(0.5 \pi ^ { 2 } + 3\)
• E) \(0.5 \pi ^ { 2 } + 1\)

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Definitions:

Test of Independence

A statistical method used to determine if there is a significant association between two categorical variables.

Nonparametric Tests

Statistical tests that do not assume a specific distribution in the data and are used for ordinal or nominal data.

Spearman Rank

A non-parametric measure of rank correlation that assesses how well the relationship between two variables can be described using a monotonic function.

Correlation

A measure of the relationship between two variables, indicating how changes in one variable are associated with changes in another.